\documentclass[9pt]{article}
\usepackage{amsmath}
\begin{document}
Read in the following dictionary:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  67.0 & -8.00 x_{1} & -1.00 x_{2} & -9.00 x_{3} & +  1.00 x_{4} & -5.00 x_{5} & +  1.00 x_{6} & -4.00 x_{7} & -9.00 x_{8} & -10.00 x_{9} & +  9.00 x_{10} & -1.00 x_{11} & +  3.00 x_{12} & -6.00 x_{13} & -4.00 x_{14} & + 10.00 x_{15}\\
 x_{17}   &  -45.0 & -4.00 x_{1} & +  2.00 x_{2} & +  4.00 x_{3} & -8.00 x_{4} & +  4.00 x_{5} &   & + 10.00 x_{7} & +  7.00 x_{8} & -2.00 x_{9} & +  9.00 x_{10} & -8.00 x_{11} & -1.00 x_{12} &   & +  4.00 x_{14} & -10.00 x_{15}\\
 x_{18}   &  -17.0 & -4.00 x_{1} & +  6.00 x_{2} & +  9.00 x_{3} & -6.00 x_{4} & -4.00 x_{5} & +  4.00 x_{6} & -3.00 x_{7} & +  6.00 x_{8} & +  6.00 x_{9} & +  1.00 x_{10} & +  1.00 x_{11} & -4.00 x_{12} & +  4.00 x_{13} & +  2.00 x_{14} & +  3.00 x_{15}\\
 x_{19}   &  24.0 & -9.00 x_{1} & +  1.00 x_{2} & -3.00 x_{3} & -8.00 x_{4} & -10.00 x_{5} & -5.00 x_{6} & +  1.00 x_{7} & -1.00 x_{8} & -8.00 x_{9} & -6.00 x_{10} &   & -8.00 x_{12} & + 10.00 x_{13} & -7.00 x_{14} & -8.00 x_{15}\\
 x_{20}   &  -50.0 & +  9.00 x_{1} & -7.00 x_{2} & +  3.00 x_{3} & +  5.00 x_{4} & -7.00 x_{5} & -8.00 x_{6} & +  6.00 x_{7} & -3.00 x_{8} & +  5.00 x_{9} & +  7.00 x_{10} & +  1.00 x_{11} & +  6.00 x_{12} & +  7.00 x_{13} & +  4.00 x_{14} & +  7.00 x_{15}\\
 x_{21}   &  -6.0 & +  2.00 x_{1} & +  9.00 x_{2} & +  9.00 x_{3} & +  8.00 x_{4} & + 10.00 x_{5} & -1.00 x_{6} & -9.00 x_{7} & +  7.00 x_{8} & + 10.00 x_{9} & +  3.00 x_{10} & +  2.00 x_{11} & +  3.00 x_{12} & -1.00 x_{13} & +  5.00 x_{14} & -5.00 x_{15}\\
 x_{22}   &  -4.0 & -7.00 x_{1} &   & +  7.00 x_{3} & -6.00 x_{4} & -2.00 x_{5} & -8.00 x_{6} & +  1.00 x_{7} & +  5.00 x_{8} & +  1.00 x_{9} & -8.00 x_{10} & +  3.00 x_{11} & +  7.00 x_{12} & +  6.00 x_{13} & -5.00 x_{14} & +  6.00 x_{15}\\
 x_{23}   &  5.0 & +  3.00 x_{1} & +  7.00 x_{2} & -3.00 x_{3} & +  7.00 x_{4} & -1.00 x_{5} & -6.00 x_{6} & +  9.00 x_{7} & -1.00 x_{8} & -2.00 x_{9} & -3.00 x_{10} &   & +  8.00 x_{12} & -10.00 x_{13} & -1.00 x_{14} & +  6.00 x_{15}\\
 x_{24}   &  -12.0 & +  9.00 x_{1} & -9.00 x_{2} & -8.00 x_{3} & -2.00 x_{4} & -10.00 x_{5} & +  5.00 x_{6} & +  7.00 x_{7} & -2.00 x_{8} & -1.00 x_{9} & +  7.00 x_{10} & -10.00 x_{11} & +  2.00 x_{12} & -2.00 x_{13} &   & -1.00 x_{15}\\
 x_{25}   &  -5.0 & +  9.00 x_{1} & -9.00 x_{2} & -5.00 x_{3} & +  9.00 x_{4} & +  3.00 x_{5} & -7.00 x_{6} & +  3.00 x_{7} &   & +  4.00 x_{9} & -5.00 x_{10} & -4.00 x_{11} & + 10.00 x_{12} & +  8.00 x_{13} & -4.00 x_{14} & -2.00 x_{15}\\
 x_{26}   &  -10.0 & -4.00 x_{1} & -2.00 x_{2} & -5.00 x_{3} & -6.00 x_{4} & -1.00 x_{5} & -2.00 x_{6} & +  8.00 x_{7} & +  8.00 x_{8} & +  1.00 x_{9} & + 10.00 x_{10} & -5.00 x_{11} & -2.00 x_{12} & -3.00 x_{13} & +  4.00 x_{14} & -7.00 x_{15}\\
 x_{27}   &  -29.0 & -7.00 x_{1} & +  9.00 x_{2} & -7.00 x_{3} & +  9.00 x_{4} & -8.00 x_{5} & -7.00 x_{6} & +  5.00 x_{7} &   & +  6.00 x_{9} &   & +  2.00 x_{11} & +  6.00 x_{12} & +  5.00 x_{13} & -7.00 x_{14} & -7.00 x_{15}\\
 x_{28}   &  28.0 & + 10.00 x_{1} & +  1.00 x_{2} & -6.00 x_{3} & -1.00 x_{4} & -10.00 x_{5} & -10.00 x_{6} & -3.00 x_{7} & -5.00 x_{8} & -8.00 x_{9} & -4.00 x_{10} & -1.00 x_{11} & -6.00 x_{12} & +  4.00 x_{13} & +  9.00 x_{14} & +  2.00 x_{15}\\
 x_{29}   &  -20.0 & -7.00 x_{1} & -9.00 x_{2} &   & -4.00 x_{4} & -7.00 x_{5} & -2.00 x_{6} & + 10.00 x_{7} & -2.00 x_{8} & + 10.00 x_{9} & +  3.00 x_{10} & +  8.00 x_{11} & -9.00 x_{12} & +  3.00 x_{13} & -2.00 x_{14} & -1.00 x_{15}\\
 x_{30}   &  43.0 & -3.00 x_{1} & +  3.00 x_{2} & -5.00 x_{3} & +  2.00 x_{4} & -1.00 x_{5} & +  5.00 x_{6} & -9.00 x_{7} & -1.00 x_{8} & +  2.00 x_{9} & -6.00 x_{10} & +  4.00 x_{11} & + 10.00 x_{12} & +  2.00 x_{13} & -1.00 x_{14} & -2.00 x_{15}\\
 x_{31}   &  -4.0 & -7.00 x_{1} & -10.00 x_{2} & +  1.00 x_{3} & +  7.00 x_{4} & -9.00 x_{5} & -10.00 x_{6} & +  1.00 x_{7} & -4.00 x_{8} & -2.00 x_{9} & +  5.00 x_{10} & +  9.00 x_{11} &   & -1.00 x_{13} & -1.00 x_{14} & +  9.00 x_{15}\\
 x_{32}   &  -2.0 & -3.00 x_{1} & -6.00 x_{2} & +  4.00 x_{3} & -1.00 x_{4} & +  9.00 x_{5} & -9.00 x_{6} & -2.00 x_{7} & -1.00 x_{8} & +  1.00 x_{9} & -9.00 x_{10} & -1.00 x_{11} & + 10.00 x_{12} & + 10.00 x_{13} & -1.00 x_{14} & +  3.00 x_{15}\\
\hline
z    &  0.0 & +  4.00 x_{1} & -2.00 x_{2} & -5.00 x_{3} &   & -4.00 x_{5} &   & +  1.00 x_{7} & -2.00 x_{8} & +  1.00 x_{9} & -1.00 x_{10} & -5.00 x_{11} & +  1.00 x_{12} & +  1.00 x_{13} & +  5.00 x_{14} & -5.00 x_{15}\\
\end{array}\]
\subsection{Initialization Phase: Dual Problem Solving}
New Objective in primal was changed to : \[ \max\ \sum_{j=1}^{15}\ - x_j \] 
Primal variable $x_j$ corresponds to dual variable $y_j$ for $j = 1,\ldots,32$
Dual Dictionary (with objective changed is): 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.0 & +  8.00 y_{16} & +  4.00 y_{17} & +  4.00 y_{18} & +  9.00 y_{19} & -9.00 y_{20} & -2.00 y_{21} & +  7.00 y_{22} & -3.00 y_{23} & -9.00 y_{24} & -9.00 y_{25} & +  4.00 y_{26} & +  7.00 y_{27} & -10.00 y_{28} & +  7.00 y_{29} & +  3.00 y_{30} & +  7.00 y_{31} & +  3.00 y_{32}\\
 y_{2}   &  1.0 & +  1.00 y_{16} & -2.00 y_{17} & -6.00 y_{18} & -1.00 y_{19} & +  7.00 y_{20} & -9.00 y_{21} &   & -7.00 y_{23} & +  9.00 y_{24} & +  9.00 y_{25} & +  2.00 y_{26} & -9.00 y_{27} & -1.00 y_{28} & +  9.00 y_{29} & -3.00 y_{30} & + 10.00 y_{31} & +  6.00 y_{32}\\
 y_{3}   &  1.0 & +  9.00 y_{16} & -4.00 y_{17} & -9.00 y_{18} & +  3.00 y_{19} & -3.00 y_{20} & -9.00 y_{21} & -7.00 y_{22} & +  3.00 y_{23} & +  8.00 y_{24} & +  5.00 y_{25} & +  5.00 y_{26} & +  7.00 y_{27} & +  6.00 y_{28} &   & +  5.00 y_{30} & -1.00 y_{31} & -4.00 y_{32}\\
 y_{4}   &  1.0 & -1.00 y_{16} & +  8.00 y_{17} & +  6.00 y_{18} & +  8.00 y_{19} & -5.00 y_{20} & -8.00 y_{21} & +  6.00 y_{22} & -7.00 y_{23} & +  2.00 y_{24} & -9.00 y_{25} & +  6.00 y_{26} & -9.00 y_{27} & +  1.00 y_{28} & +  4.00 y_{29} & -2.00 y_{30} & -7.00 y_{31} & +  1.00 y_{32}\\
 y_{5}   &  1.0 & +  5.00 y_{16} & -4.00 y_{17} & +  4.00 y_{18} & + 10.00 y_{19} & +  7.00 y_{20} & -10.00 y_{21} & +  2.00 y_{22} & +  1.00 y_{23} & + 10.00 y_{24} & -3.00 y_{25} & +  1.00 y_{26} & +  8.00 y_{27} & + 10.00 y_{28} & +  7.00 y_{29} & +  1.00 y_{30} & +  9.00 y_{31} & -9.00 y_{32}\\
 y_{6}   &  1.0 & -1.00 y_{16} &   & -4.00 y_{18} & +  5.00 y_{19} & +  8.00 y_{20} & +  1.00 y_{21} & +  8.00 y_{22} & +  6.00 y_{23} & -5.00 y_{24} & +  7.00 y_{25} & +  2.00 y_{26} & +  7.00 y_{27} & + 10.00 y_{28} & +  2.00 y_{29} & -5.00 y_{30} & + 10.00 y_{31} & +  9.00 y_{32}\\
 y_{7}   &  1.0 & +  4.00 y_{16} & -10.00 y_{17} & +  3.00 y_{18} & -1.00 y_{19} & -6.00 y_{20} & +  9.00 y_{21} & -1.00 y_{22} & -9.00 y_{23} & -7.00 y_{24} & -3.00 y_{25} & -8.00 y_{26} & -5.00 y_{27} & +  3.00 y_{28} & -10.00 y_{29} & +  9.00 y_{30} & -1.00 y_{31} & +  2.00 y_{32}\\
 y_{8}   &  1.0 & +  9.00 y_{16} & -7.00 y_{17} & -6.00 y_{18} & +  1.00 y_{19} & +  3.00 y_{20} & -7.00 y_{21} & -5.00 y_{22} & +  1.00 y_{23} & +  2.00 y_{24} &   & -8.00 y_{26} &   & +  5.00 y_{28} & +  2.00 y_{29} & +  1.00 y_{30} & +  4.00 y_{31} & +  1.00 y_{32}\\
 y_{9}   &  1.0 & + 10.00 y_{16} & +  2.00 y_{17} & -6.00 y_{18} & +  8.00 y_{19} & -5.00 y_{20} & -10.00 y_{21} & -1.00 y_{22} & +  2.00 y_{23} & +  1.00 y_{24} & -4.00 y_{25} & -1.00 y_{26} & -6.00 y_{27} & +  8.00 y_{28} & -10.00 y_{29} & -2.00 y_{30} & +  2.00 y_{31} & -1.00 y_{32}\\
 y_{10}   &  1.0 & -9.00 y_{16} & -9.00 y_{17} & -1.00 y_{18} & +  6.00 y_{19} & -7.00 y_{20} & -3.00 y_{21} & +  8.00 y_{22} & +  3.00 y_{23} & -7.00 y_{24} & +  5.00 y_{25} & -10.00 y_{26} &   & +  4.00 y_{28} & -3.00 y_{29} & +  6.00 y_{30} & -5.00 y_{31} & +  9.00 y_{32}\\
 y_{11}   &  1.0 & +  1.00 y_{16} & +  8.00 y_{17} & -1.00 y_{18} &   & -1.00 y_{20} & -2.00 y_{21} & -3.00 y_{22} &   & + 10.00 y_{24} & +  4.00 y_{25} & +  5.00 y_{26} & -2.00 y_{27} & +  1.00 y_{28} & -8.00 y_{29} & -4.00 y_{30} & -9.00 y_{31} & +  1.00 y_{32}\\
 y_{12}   &  1.0 & -3.00 y_{16} & +  1.00 y_{17} & +  4.00 y_{18} & +  8.00 y_{19} & -6.00 y_{20} & -3.00 y_{21} & -7.00 y_{22} & -8.00 y_{23} & -2.00 y_{24} & -10.00 y_{25} & +  2.00 y_{26} & -6.00 y_{27} & +  6.00 y_{28} & +  9.00 y_{29} & -10.00 y_{30} &   & -10.00 y_{32}\\
 y_{13}   &  1.0 & +  6.00 y_{16} &   & -4.00 y_{18} & -10.00 y_{19} & -7.00 y_{20} & +  1.00 y_{21} & -6.00 y_{22} & + 10.00 y_{23} & +  2.00 y_{24} & -8.00 y_{25} & +  3.00 y_{26} & -5.00 y_{27} & -4.00 y_{28} & -3.00 y_{29} & -2.00 y_{30} & +  1.00 y_{31} & -10.00 y_{32}\\
 y_{14}   &  1.0 & +  4.00 y_{16} & -4.00 y_{17} & -2.00 y_{18} & +  7.00 y_{19} & -4.00 y_{20} & -5.00 y_{21} & +  5.00 y_{22} & +  1.00 y_{23} &   & +  4.00 y_{25} & -4.00 y_{26} & +  7.00 y_{27} & -9.00 y_{28} & +  2.00 y_{29} & +  1.00 y_{30} & +  1.00 y_{31} & +  1.00 y_{32}\\
 y_{15}   &  1.0 & -10.00 y_{16} & + 10.00 y_{17} & -3.00 y_{18} & +  8.00 y_{19} & -7.00 y_{20} & +  5.00 y_{21} & -6.00 y_{22} & -6.00 y_{23} & +  1.00 y_{24} & +  2.00 y_{25} & +  7.00 y_{26} & +  7.00 y_{27} & -2.00 y_{28} & +  1.00 y_{29} & +  2.00 y_{30} & -9.00 y_{31} & -3.00 y_{32}\\
\hline
z    &  -0 & -67.00 y_{16} & + 45.00 y_{17} & + 17.00 y_{18} & -24.00 y_{19} & + 50.00 y_{20} & +  6.00 y_{21} & +  4.00 y_{22} & -5.00 y_{23} & + 12.00 y_{24} & +  5.00 y_{25} & + 10.00 y_{26} & + 29.00 y_{27} & -28.00 y_{28} & + 20.00 y_{29} & -43.00 y_{30} & +  4.00 y_{31} & +  2.00 y_{32}\\
\end{array}\]
Initialization succeeded in finding final dual dictionary with 18 pivots
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.44701836899 & + 25.38 y_{16} & -0.52 y_{13} & +  0.68 y_{10} & -4.17 y_{19} & -1.71 y_{22} & +  0.79 y_{3} & -0.20 y_{7} & -1.55 y_{8} & -7.26 y_{24} & +  0.04 y_{9} & -6.21 y_{26} & -17.79 y_{25} & +  0.32 y_{12} & +  6.13 y_{29} & +  0.54 y_{30} & + 17.61 y_{31} & -13.42 y_{28}\\
 y_{2}   &  0.302087994943 & -21.26 y_{16} & -0.56 y_{13} & -0.64 y_{10} & -9.02 y_{19} & +  2.96 y_{22} & -0.61 y_{3} & +  0.41 y_{7} & +  1.18 y_{8} & +  9.17 y_{24} & +  1.22 y_{9} & + 14.79 y_{26} & + 13.87 y_{25} & -0.30 y_{12} & + 21.99 y_{29} & -2.66 y_{30} & +  0.02 y_{31} & -12.08 y_{28}\\
 y_{20}   &  0.0470384810276 & -0.37 y_{16} & -0.00 y_{13} & -0.04 y_{10} & +  0.52 y_{19} & +  0.34 y_{22} & -0.05 y_{3} & -0.02 y_{7} & +  0.09 y_{8} & -0.19 y_{24} & -0.03 y_{9} & +  0.44 y_{26} & +  0.17 y_{25} & -0.00 y_{12} & -0.79 y_{29} & +  0.44 y_{30} & -0.57 y_{31} & +  0.29 y_{28}\\
 y_{4}   &  0.881849105754 & +  9.66 y_{16} & -0.51 y_{13} & +  0.38 y_{10} & -10.50 y_{19} & -0.14 y_{22} & -0.56 y_{3} & -0.39 y_{7} & -0.40 y_{8} & +  8.88 y_{24} & +  0.83 y_{9} & +  7.05 y_{26} & -2.32 y_{25} & +  0.77 y_{12} & +  1.80 y_{29} & + 10.84 y_{30} & -5.63 y_{31} & -7.29 y_{28}\\
 y_{5}   &  0.58060503271 & + 27.35 y_{16} & +  0.09 y_{13} & +  0.71 y_{10} & +  6.46 y_{19} & + 10.69 y_{22} & -0.05 y_{3} & -1.39 y_{7} & +  1.37 y_{8} & +  7.60 y_{24} & -1.82 y_{9} & +  3.07 y_{26} & -1.92 y_{25} & +  1.51 y_{12} & -39.06 y_{29} & + 19.79 y_{30} & +  9.21 y_{31} & + 10.63 y_{28}\\
 y_{6}   &  2.09454833244 & -4.63 y_{16} & -0.16 y_{13} & -0.12 y_{10} & + 10.90 y_{19} & +  2.72 y_{22} & +  0.06 y_{3} & -0.09 y_{7} & +  0.11 y_{8} & -8.49 y_{24} & -0.02 y_{9} & +  2.95 y_{26} & -3.04 y_{25} & -0.87 y_{12} & +  7.67 y_{29} & -12.99 y_{30} & +  9.14 y_{31} & + 14.62 y_{28}\\
 y_{17}   &  0.100223670211 & -0.31 y_{16} & -0.02 y_{13} & -0.04 y_{10} & -0.23 y_{19} & -0.33 y_{22} & +  0.01 y_{3} & -0.00 y_{7} & -0.09 y_{8} & -0.29 y_{24} & +  0.07 y_{9} & -0.94 y_{26} & -0.11 y_{25} & -0.03 y_{12} & +  0.93 y_{29} & +  0.03 y_{30} & +  0.05 y_{31} & +  0.07 y_{28}\\
 y_{23}   &  0.00608933226301 & +  0.83 y_{16} & +  0.05 y_{13} & +  0.05 y_{10} & +  0.62 y_{19} & -0.29 y_{22} & -0.04 y_{3} & -0.05 y_{7} & +  0.02 y_{8} & +  0.13 y_{24} & -0.04 y_{9} & +  0.22 y_{26} & +  0.04 y_{25} & -0.00 y_{12} & -0.68 y_{29} & +  0.37 y_{30} & +  0.08 y_{31} & +  0.61 y_{28}\\
 y_{27}   &  0.0505610474278 & +  0.67 y_{16} & -0.02 y_{13} & +  0.01 y_{10} & -0.12 y_{19} & -0.05 y_{22} & +  0.07 y_{3} & -0.02 y_{7} & -0.05 y_{8} & -0.39 y_{24} & -0.05 y_{9} & -0.77 y_{26} & -0.85 y_{25} & +  0.00 y_{12} & -0.61 y_{29} & -0.39 y_{30} & +  0.47 y_{31} & +  0.11 y_{28}\\
 y_{21}   &  0.047841134075 & -0.79 y_{16} & +  0.02 y_{13} & -0.05 y_{10} & +  0.98 y_{19} & +  0.03 y_{22} & +  0.01 y_{3} & +  0.06 y_{7} & -0.04 y_{8} & -0.09 y_{24} & +  0.01 y_{9} & -0.30 y_{26} & -0.05 y_{25} & -0.06 y_{12} & +  1.22 y_{29} & -0.84 y_{30} & -0.04 y_{31} & +  0.52 y_{28}\\
 y_{11}   &  1.57486500558 & -3.48 y_{16} & -0.22 y_{13} & -0.28 y_{10} & -4.09 y_{19} & -6.30 y_{22} & +  0.02 y_{3} & +  0.02 y_{7} & -0.65 y_{8} & +  8.43 y_{24} & +  0.80 y_{9} & -0.83 y_{26} & +  4.01 y_{25} & -0.28 y_{12} & +  2.54 y_{29} & -3.64 y_{30} & -9.14 y_{31} & -0.47 y_{28}\\
 y_{15}   &  2.02560532003 & -23.71 y_{16} & -0.52 y_{13} & -0.90 y_{10} & +  4.98 y_{19} & -5.86 y_{22} & +  1.48 y_{3} & +  0.89 y_{7} & -2.22 y_{8} & -7.80 y_{24} & +  0.96 y_{9} & -16.02 y_{26} & -5.71 y_{25} & -0.72 y_{12} & + 26.27 y_{29} & -12.14 y_{30} & -3.67 y_{31} & -4.29 y_{28}\\
 y_{32}   &  0.0424524145761 & +  0.17 y_{16} & -0.03 y_{13} & +  0.02 y_{10} & -0.42 y_{19} & -0.90 y_{22} & -0.01 y_{3} & +  0.01 y_{7} & -0.03 y_{8} & +  0.35 y_{24} & +  0.05 y_{9} & +  0.39 y_{26} & -0.54 y_{25} & -0.04 y_{12} & +  1.00 y_{29} & -0.55 y_{30} & +  0.17 y_{31} & -0.14 y_{28}\\
 y_{14}   &  0.523146950197 & + 10.79 y_{16} & -0.16 y_{13} & +  0.52 y_{10} & +  1.14 y_{19} & +  4.26 y_{22} & +  0.67 y_{3} & -0.19 y_{7} & -0.27 y_{8} & -1.38 y_{24} & -0.32 y_{9} & -6.12 y_{26} & -2.81 y_{25} & +  0.23 y_{12} & -3.56 y_{29} & -2.18 y_{30} & +  6.00 y_{31} & -12.57 y_{28}\\
 y_{18}   &  0.0255339266529 & +  2.77 y_{16} & +  0.01 y_{13} & +  0.09 y_{10} & -0.42 y_{19} & -0.52 y_{22} & -0.06 y_{3} & -0.09 y_{7} & +  0.03 y_{8} & +  0.76 y_{24} & -0.10 y_{9} & +  0.43 y_{26} & +  0.19 y_{25} & +  0.10 y_{12} & -2.51 y_{29} & +  1.30 y_{30} & +  0.41 y_{31} & +  0.36 y_{28}\\
\hline
z    &  9.10384131169 & -41.48 y_{16} & -1.87 y_{13} & -2.00 y_{10} & -17.12 y_{19} & -3.78 y_{22} & -0.42 y_{3} & -2.40 y_{7} & -0.65 y_{8} & -9.65 y_{24} & -1.41 y_{9} & -27.28 y_{26} & -14.30 y_{25} & -0.36 y_{12} & -25.20 y_{29} & -16.80 y_{30} & -1.53 y_{31} & -1.13 y_{28}\\
\end{array}\]
Primal Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  41.475060844 & -25.38 x_{1} & + 21.26 x_{2} & +  0.37 x_{20} & -9.66 x_{4} & -27.35 x_{5} & +  4.63 x_{6} & +  0.31 x_{17} & -0.83 x_{23} & -0.67 x_{27} & +  0.79 x_{21} & +  3.48 x_{11} & + 23.71 x_{15} & -0.17 x_{32} & -10.79 x_{14} & -2.77 x_{18}\\
 x_{13}   &  1.87359141747 & +  0.52 x_{1} & +  0.56 x_{2} & +  0.00 x_{20} & +  0.51 x_{4} & -0.09 x_{5} & +  0.16 x_{6} & +  0.02 x_{17} & -0.05 x_{23} & +  0.02 x_{27} & -0.02 x_{21} & +  0.22 x_{11} & +  0.52 x_{15} & +  0.03 x_{32} & +  0.16 x_{14} & -0.01 x_{18}\\
 x_{10}   &  1.99535681885 & -0.68 x_{1} & +  0.64 x_{2} & +  0.04 x_{20} & -0.38 x_{4} & -0.71 x_{5} & +  0.12 x_{6} & +  0.04 x_{17} & -0.05 x_{23} & -0.01 x_{27} & +  0.05 x_{21} & +  0.28 x_{11} & +  0.90 x_{15} & -0.02 x_{32} & -0.52 x_{14} & -0.09 x_{18}\\
 x_{19}   &  17.1238661659 & +  4.17 x_{1} & +  9.02 x_{2} & -0.52 x_{20} & + 10.50 x_{4} & -6.46 x_{5} & -10.90 x_{6} & +  0.23 x_{17} & -0.62 x_{23} & +  0.12 x_{27} & -0.98 x_{21} & +  4.09 x_{11} & -4.98 x_{15} & +  0.42 x_{32} & -1.14 x_{14} & +  0.42 x_{18}\\
 x_{22}   &  3.77670921828 & +  1.71 x_{1} & -2.96 x_{2} & -0.34 x_{20} & +  0.14 x_{4} & -10.69 x_{5} & -2.72 x_{6} & +  0.33 x_{17} & +  0.29 x_{23} & +  0.05 x_{27} & -0.03 x_{21} & +  6.30 x_{11} & +  5.86 x_{15} & +  0.90 x_{32} & -4.26 x_{14} & +  0.52 x_{18}\\
 x_{3}   &  0.423186419704 & -0.79 x_{1} & +  0.61 x_{2} & +  0.05 x_{20} & +  0.56 x_{4} & +  0.05 x_{5} & -0.06 x_{6} & -0.01 x_{17} & +  0.04 x_{23} & -0.07 x_{27} & -0.01 x_{21} & -0.02 x_{11} & -1.48 x_{15} & +  0.01 x_{32} & -0.67 x_{14} & +  0.06 x_{18}\\
 x_{7}   &  2.4001827206 & +  0.20 x_{1} & -0.41 x_{2} & +  0.02 x_{20} & +  0.39 x_{4} & +  1.39 x_{5} & +  0.09 x_{6} & +  0.00 x_{17} & +  0.05 x_{23} & +  0.02 x_{27} & -0.06 x_{21} & -0.02 x_{11} & -0.89 x_{15} & -0.01 x_{32} & +  0.19 x_{14} & +  0.09 x_{18}\\
 x_{8}   &  0.645951560468 & +  1.55 x_{1} & -1.18 x_{2} & -0.09 x_{20} & +  0.40 x_{4} & -1.37 x_{5} & -0.11 x_{6} & +  0.09 x_{17} & -0.02 x_{23} & +  0.05 x_{27} & +  0.04 x_{21} & +  0.65 x_{11} & +  2.22 x_{15} & +  0.03 x_{32} & +  0.27 x_{14} & -0.03 x_{18}\\
 x_{24}   &  9.64872580244 & +  7.26 x_{1} & -9.17 x_{2} & +  0.19 x_{20} & -8.88 x_{4} & -7.60 x_{5} & +  8.49 x_{6} & +  0.29 x_{17} & -0.13 x_{23} & +  0.39 x_{27} & +  0.09 x_{21} & -8.43 x_{11} & +  7.80 x_{15} & -0.35 x_{32} & +  1.38 x_{14} & -0.76 x_{18}\\
 x_{9}   &  1.40887280313 & -0.04 x_{1} & -1.22 x_{2} & +  0.03 x_{20} & -0.83 x_{4} & +  1.82 x_{5} & +  0.02 x_{6} & -0.07 x_{17} & +  0.04 x_{23} & +  0.05 x_{27} & -0.01 x_{21} & -0.80 x_{11} & -0.96 x_{15} & -0.05 x_{32} & +  0.32 x_{14} & +  0.10 x_{18}\\
 x_{26}   &  27.2814097463 & +  6.21 x_{1} & -14.79 x_{2} & -0.44 x_{20} & -7.05 x_{4} & -3.07 x_{5} & -2.95 x_{6} & +  0.94 x_{17} & -0.22 x_{23} & +  0.77 x_{27} & +  0.30 x_{21} & +  0.83 x_{11} & + 16.02 x_{15} & -0.39 x_{32} & +  6.12 x_{14} & -0.43 x_{18}\\
 x_{25}   &  14.299050236 & + 17.79 x_{1} & -13.87 x_{2} & -0.17 x_{20} & +  2.32 x_{4} & +  1.92 x_{5} & +  3.04 x_{6} & +  0.11 x_{17} & -0.04 x_{23} & +  0.85 x_{27} & +  0.05 x_{21} & -4.01 x_{11} & +  5.71 x_{15} & +  0.54 x_{32} & +  2.81 x_{14} & -0.19 x_{18}\\
 x_{12}   &  0.356699571466 & -0.32 x_{1} & +  0.30 x_{2} & +  0.00 x_{20} & -0.77 x_{4} & -1.51 x_{5} & +  0.87 x_{6} & +  0.03 x_{17} & +  0.00 x_{23} & -0.00 x_{27} & +  0.06 x_{21} & +  0.28 x_{11} & +  0.72 x_{15} & +  0.04 x_{32} & -0.23 x_{14} & -0.10 x_{18}\\
 x_{29}   &  25.1952006821 & -6.13 x_{1} & -21.99 x_{2} & +  0.79 x_{20} & -1.80 x_{4} & + 39.06 x_{5} & -7.67 x_{6} & -0.93 x_{17} & +  0.68 x_{23} & +  0.61 x_{27} & -1.22 x_{21} & -2.54 x_{11} & -26.27 x_{15} & -1.00 x_{32} & +  3.56 x_{14} & +  2.51 x_{18}\\
 x_{30}   &  16.7962550984 & -0.54 x_{1} & +  2.66 x_{2} & -0.44 x_{20} & -10.84 x_{4} & -19.79 x_{5} & + 12.99 x_{6} & -0.03 x_{17} & -0.37 x_{23} & +  0.39 x_{27} & +  0.84 x_{21} & +  3.64 x_{11} & + 12.14 x_{15} & +  0.55 x_{32} & +  2.18 x_{14} & -1.30 x_{18}\\
 x_{31}   &  1.52500996895 & -17.61 x_{1} & -0.02 x_{2} & +  0.57 x_{20} & +  5.63 x_{4} & -9.21 x_{5} & -9.14 x_{6} & -0.05 x_{17} & -0.08 x_{23} & -0.47 x_{27} & +  0.04 x_{21} & +  9.14 x_{11} & +  3.67 x_{15} & -0.17 x_{32} & -6.00 x_{14} & -0.41 x_{18}\\
 x_{28}   &  1.1323340583 & + 13.42 x_{1} & + 12.08 x_{2} & -0.29 x_{20} & +  7.29 x_{4} & -10.63 x_{5} & -14.62 x_{6} & -0.07 x_{17} & -0.61 x_{23} & -0.11 x_{27} & -0.52 x_{21} & +  0.47 x_{11} & +  4.29 x_{15} & +  0.14 x_{32} & + 12.57 x_{14} & -0.36 x_{18}\\
\hline
z    &  -9.10384131169 & -1.45 x_{1} & -0.30 x_{2} & -0.05 x_{20} & -0.88 x_{4} & -0.58 x_{5} & -2.09 x_{6} & -0.10 x_{17} & -0.01 x_{23} & -0.05 x_{27} & -0.05 x_{21} & -1.57 x_{11} & -2.03 x_{15} & -0.04 x_{32} & -0.52 x_{14} & -0.03 x_{18}\\
\end{array}\]
Primal Dictionary with original objective is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  41.475060844 & -25.38 x_{1} & + 21.26 x_{2} & +  0.37 x_{20} & -9.66 x_{4} & -27.35 x_{5} & +  4.63 x_{6} & +  0.31 x_{17} & -0.83 x_{23} & -0.67 x_{27} & +  0.79 x_{21} & +  3.48 x_{11} & + 23.71 x_{15} & -0.17 x_{32} & -10.79 x_{14} & -2.77 x_{18}\\
 x_{13}   &  1.87359141747 & +  0.52 x_{1} & +  0.56 x_{2} & +  0.00 x_{20} & +  0.51 x_{4} & -0.09 x_{5} & +  0.16 x_{6} & +  0.02 x_{17} & -0.05 x_{23} & +  0.02 x_{27} & -0.02 x_{21} & +  0.22 x_{11} & +  0.52 x_{15} & +  0.03 x_{32} & +  0.16 x_{14} & -0.01 x_{18}\\
 x_{10}   &  1.99535681885 & -0.68 x_{1} & +  0.64 x_{2} & +  0.04 x_{20} & -0.38 x_{4} & -0.71 x_{5} & +  0.12 x_{6} & +  0.04 x_{17} & -0.05 x_{23} & -0.01 x_{27} & +  0.05 x_{21} & +  0.28 x_{11} & +  0.90 x_{15} & -0.02 x_{32} & -0.52 x_{14} & -0.09 x_{18}\\
 x_{19}   &  17.1238661659 & +  4.17 x_{1} & +  9.02 x_{2} & -0.52 x_{20} & + 10.50 x_{4} & -6.46 x_{5} & -10.90 x_{6} & +  0.23 x_{17} & -0.62 x_{23} & +  0.12 x_{27} & -0.98 x_{21} & +  4.09 x_{11} & -4.98 x_{15} & +  0.42 x_{32} & -1.14 x_{14} & +  0.42 x_{18}\\
 x_{22}   &  3.77670921828 & +  1.71 x_{1} & -2.96 x_{2} & -0.34 x_{20} & +  0.14 x_{4} & -10.69 x_{5} & -2.72 x_{6} & +  0.33 x_{17} & +  0.29 x_{23} & +  0.05 x_{27} & -0.03 x_{21} & +  6.30 x_{11} & +  5.86 x_{15} & +  0.90 x_{32} & -4.26 x_{14} & +  0.52 x_{18}\\
 x_{3}   &  0.423186419704 & -0.79 x_{1} & +  0.61 x_{2} & +  0.05 x_{20} & +  0.56 x_{4} & +  0.05 x_{5} & -0.06 x_{6} & -0.01 x_{17} & +  0.04 x_{23} & -0.07 x_{27} & -0.01 x_{21} & -0.02 x_{11} & -1.48 x_{15} & +  0.01 x_{32} & -0.67 x_{14} & +  0.06 x_{18}\\
 x_{7}   &  2.4001827206 & +  0.20 x_{1} & -0.41 x_{2} & +  0.02 x_{20} & +  0.39 x_{4} & +  1.39 x_{5} & +  0.09 x_{6} & +  0.00 x_{17} & +  0.05 x_{23} & +  0.02 x_{27} & -0.06 x_{21} & -0.02 x_{11} & -0.89 x_{15} & -0.01 x_{32} & +  0.19 x_{14} & +  0.09 x_{18}\\
 x_{8}   &  0.645951560468 & +  1.55 x_{1} & -1.18 x_{2} & -0.09 x_{20} & +  0.40 x_{4} & -1.37 x_{5} & -0.11 x_{6} & +  0.09 x_{17} & -0.02 x_{23} & +  0.05 x_{27} & +  0.04 x_{21} & +  0.65 x_{11} & +  2.22 x_{15} & +  0.03 x_{32} & +  0.27 x_{14} & -0.03 x_{18}\\
 x_{24}   &  9.64872580244 & +  7.26 x_{1} & -9.17 x_{2} & +  0.19 x_{20} & -8.88 x_{4} & -7.60 x_{5} & +  8.49 x_{6} & +  0.29 x_{17} & -0.13 x_{23} & +  0.39 x_{27} & +  0.09 x_{21} & -8.43 x_{11} & +  7.80 x_{15} & -0.35 x_{32} & +  1.38 x_{14} & -0.76 x_{18}\\
 x_{9}   &  1.40887280313 & -0.04 x_{1} & -1.22 x_{2} & +  0.03 x_{20} & -0.83 x_{4} & +  1.82 x_{5} & +  0.02 x_{6} & -0.07 x_{17} & +  0.04 x_{23} & +  0.05 x_{27} & -0.01 x_{21} & -0.80 x_{11} & -0.96 x_{15} & -0.05 x_{32} & +  0.32 x_{14} & +  0.10 x_{18}\\
 x_{26}   &  27.2814097463 & +  6.21 x_{1} & -14.79 x_{2} & -0.44 x_{20} & -7.05 x_{4} & -3.07 x_{5} & -2.95 x_{6} & +  0.94 x_{17} & -0.22 x_{23} & +  0.77 x_{27} & +  0.30 x_{21} & +  0.83 x_{11} & + 16.02 x_{15} & -0.39 x_{32} & +  6.12 x_{14} & -0.43 x_{18}\\
 x_{25}   &  14.299050236 & + 17.79 x_{1} & -13.87 x_{2} & -0.17 x_{20} & +  2.32 x_{4} & +  1.92 x_{5} & +  3.04 x_{6} & +  0.11 x_{17} & -0.04 x_{23} & +  0.85 x_{27} & +  0.05 x_{21} & -4.01 x_{11} & +  5.71 x_{15} & +  0.54 x_{32} & +  2.81 x_{14} & -0.19 x_{18}\\
 x_{12}   &  0.356699571466 & -0.32 x_{1} & +  0.30 x_{2} & +  0.00 x_{20} & -0.77 x_{4} & -1.51 x_{5} & +  0.87 x_{6} & +  0.03 x_{17} & +  0.00 x_{23} & -0.00 x_{27} & +  0.06 x_{21} & +  0.28 x_{11} & +  0.72 x_{15} & +  0.04 x_{32} & -0.23 x_{14} & -0.10 x_{18}\\
 x_{29}   &  25.1952006821 & -6.13 x_{1} & -21.99 x_{2} & +  0.79 x_{20} & -1.80 x_{4} & + 39.06 x_{5} & -7.67 x_{6} & -0.93 x_{17} & +  0.68 x_{23} & +  0.61 x_{27} & -1.22 x_{21} & -2.54 x_{11} & -26.27 x_{15} & -1.00 x_{32} & +  3.56 x_{14} & +  2.51 x_{18}\\
 x_{30}   &  16.7962550984 & -0.54 x_{1} & +  2.66 x_{2} & -0.44 x_{20} & -10.84 x_{4} & -19.79 x_{5} & + 12.99 x_{6} & -0.03 x_{17} & -0.37 x_{23} & +  0.39 x_{27} & +  0.84 x_{21} & +  3.64 x_{11} & + 12.14 x_{15} & +  0.55 x_{32} & +  2.18 x_{14} & -1.30 x_{18}\\
 x_{31}   &  1.52500996895 & -17.61 x_{1} & -0.02 x_{2} & +  0.57 x_{20} & +  5.63 x_{4} & -9.21 x_{5} & -9.14 x_{6} & -0.05 x_{17} & -0.08 x_{23} & -0.47 x_{27} & +  0.04 x_{21} & +  9.14 x_{11} & +  3.67 x_{15} & -0.17 x_{32} & -6.00 x_{14} & -0.41 x_{18}\\
 x_{28}   &  1.1323340583 & + 13.42 x_{1} & + 12.08 x_{2} & -0.29 x_{20} & +  7.29 x_{4} & -10.63 x_{5} & -14.62 x_{6} & -0.07 x_{17} & -0.61 x_{23} & -0.11 x_{27} & -0.52 x_{21} & +  0.47 x_{11} & +  4.29 x_{15} & +  0.14 x_{32} & + 12.57 x_{14} & -0.36 x_{18}\\
\hline
z    &  0.636154474362 & +  5.90 x_{1} & -4.09 x_{2} & -0.02 x_{20} & -3.91 x_{4} & +  0.80 x_{5} & +  1.53 x_{6} & -0.16 x_{17} & -0.04 x_{23} & +  0.37 x_{27} & -0.09 x_{21} & -6.79 x_{11} & -3.58 x_{15} & -0.09 x_{32} & +  8.77 x_{14} & -0.07 x_{18}\\
\end{array}\]
\section{Optimization Phase Simplex}
Starting Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  41.475060844 & -25.38 x_{1} & + 21.26 x_{2} & +  0.37 x_{20} & -9.66 x_{4} & -27.35 x_{5} & +  4.63 x_{6} & +  0.31 x_{17} & -0.83 x_{23} & -0.67 x_{27} & +  0.79 x_{21} & +  3.48 x_{11} & + 23.71 x_{15} & -0.17 x_{32} & -10.79 x_{14} & -2.77 x_{18}\\
 x_{13}   &  1.87359141747 & +  0.52 x_{1} & +  0.56 x_{2} & +  0.00 x_{20} & +  0.51 x_{4} & -0.09 x_{5} & +  0.16 x_{6} & +  0.02 x_{17} & -0.05 x_{23} & +  0.02 x_{27} & -0.02 x_{21} & +  0.22 x_{11} & +  0.52 x_{15} & +  0.03 x_{32} & +  0.16 x_{14} & -0.01 x_{18}\\
 x_{10}   &  1.99535681885 & -0.68 x_{1} & +  0.64 x_{2} & +  0.04 x_{20} & -0.38 x_{4} & -0.71 x_{5} & +  0.12 x_{6} & +  0.04 x_{17} & -0.05 x_{23} & -0.01 x_{27} & +  0.05 x_{21} & +  0.28 x_{11} & +  0.90 x_{15} & -0.02 x_{32} & -0.52 x_{14} & -0.09 x_{18}\\
 x_{19}   &  17.1238661659 & +  4.17 x_{1} & +  9.02 x_{2} & -0.52 x_{20} & + 10.50 x_{4} & -6.46 x_{5} & -10.90 x_{6} & +  0.23 x_{17} & -0.62 x_{23} & +  0.12 x_{27} & -0.98 x_{21} & +  4.09 x_{11} & -4.98 x_{15} & +  0.42 x_{32} & -1.14 x_{14} & +  0.42 x_{18}\\
 x_{22}   &  3.77670921828 & +  1.71 x_{1} & -2.96 x_{2} & -0.34 x_{20} & +  0.14 x_{4} & -10.69 x_{5} & -2.72 x_{6} & +  0.33 x_{17} & +  0.29 x_{23} & +  0.05 x_{27} & -0.03 x_{21} & +  6.30 x_{11} & +  5.86 x_{15} & +  0.90 x_{32} & -4.26 x_{14} & +  0.52 x_{18}\\
 x_{3}   &  0.423186419704 & -0.79 x_{1} & +  0.61 x_{2} & +  0.05 x_{20} & +  0.56 x_{4} & +  0.05 x_{5} & -0.06 x_{6} & -0.01 x_{17} & +  0.04 x_{23} & -0.07 x_{27} & -0.01 x_{21} & -0.02 x_{11} & -1.48 x_{15} & +  0.01 x_{32} & -0.67 x_{14} & +  0.06 x_{18}\\
 x_{7}   &  2.4001827206 & +  0.20 x_{1} & -0.41 x_{2} & +  0.02 x_{20} & +  0.39 x_{4} & +  1.39 x_{5} & +  0.09 x_{6} & +  0.00 x_{17} & +  0.05 x_{23} & +  0.02 x_{27} & -0.06 x_{21} & -0.02 x_{11} & -0.89 x_{15} & -0.01 x_{32} & +  0.19 x_{14} & +  0.09 x_{18}\\
 x_{8}   &  0.645951560468 & +  1.55 x_{1} & -1.18 x_{2} & -0.09 x_{20} & +  0.40 x_{4} & -1.37 x_{5} & -0.11 x_{6} & +  0.09 x_{17} & -0.02 x_{23} & +  0.05 x_{27} & +  0.04 x_{21} & +  0.65 x_{11} & +  2.22 x_{15} & +  0.03 x_{32} & +  0.27 x_{14} & -0.03 x_{18}\\
 x_{24}   &  9.64872580244 & +  7.26 x_{1} & -9.17 x_{2} & +  0.19 x_{20} & -8.88 x_{4} & -7.60 x_{5} & +  8.49 x_{6} & +  0.29 x_{17} & -0.13 x_{23} & +  0.39 x_{27} & +  0.09 x_{21} & -8.43 x_{11} & +  7.80 x_{15} & -0.35 x_{32} & +  1.38 x_{14} & -0.76 x_{18}\\
 x_{9}   &  1.40887280313 & -0.04 x_{1} & -1.22 x_{2} & +  0.03 x_{20} & -0.83 x_{4} & +  1.82 x_{5} & +  0.02 x_{6} & -0.07 x_{17} & +  0.04 x_{23} & +  0.05 x_{27} & -0.01 x_{21} & -0.80 x_{11} & -0.96 x_{15} & -0.05 x_{32} & +  0.32 x_{14} & +  0.10 x_{18}\\
 x_{26}   &  27.2814097463 & +  6.21 x_{1} & -14.79 x_{2} & -0.44 x_{20} & -7.05 x_{4} & -3.07 x_{5} & -2.95 x_{6} & +  0.94 x_{17} & -0.22 x_{23} & +  0.77 x_{27} & +  0.30 x_{21} & +  0.83 x_{11} & + 16.02 x_{15} & -0.39 x_{32} & +  6.12 x_{14} & -0.43 x_{18}\\
 x_{25}   &  14.299050236 & + 17.79 x_{1} & -13.87 x_{2} & -0.17 x_{20} & +  2.32 x_{4} & +  1.92 x_{5} & +  3.04 x_{6} & +  0.11 x_{17} & -0.04 x_{23} & +  0.85 x_{27} & +  0.05 x_{21} & -4.01 x_{11} & +  5.71 x_{15} & +  0.54 x_{32} & +  2.81 x_{14} & -0.19 x_{18}\\
 x_{12}   &  0.356699571466 & -0.32 x_{1} & +  0.30 x_{2} & +  0.00 x_{20} & -0.77 x_{4} & -1.51 x_{5} & +  0.87 x_{6} & +  0.03 x_{17} & +  0.00 x_{23} & -0.00 x_{27} & +  0.06 x_{21} & +  0.28 x_{11} & +  0.72 x_{15} & +  0.04 x_{32} & -0.23 x_{14} & -0.10 x_{18}\\
 x_{29}   &  25.1952006821 & -6.13 x_{1} & -21.99 x_{2} & +  0.79 x_{20} & -1.80 x_{4} & + 39.06 x_{5} & -7.67 x_{6} & -0.93 x_{17} & +  0.68 x_{23} & +  0.61 x_{27} & -1.22 x_{21} & -2.54 x_{11} & -26.27 x_{15} & -1.00 x_{32} & +  3.56 x_{14} & +  2.51 x_{18}\\
 x_{30}   &  16.7962550984 & -0.54 x_{1} & +  2.66 x_{2} & -0.44 x_{20} & -10.84 x_{4} & -19.79 x_{5} & + 12.99 x_{6} & -0.03 x_{17} & -0.37 x_{23} & +  0.39 x_{27} & +  0.84 x_{21} & +  3.64 x_{11} & + 12.14 x_{15} & +  0.55 x_{32} & +  2.18 x_{14} & -1.30 x_{18}\\
 x_{31}   &  1.52500996895 & -17.61 x_{1} & -0.02 x_{2} & +  0.57 x_{20} & +  5.63 x_{4} & -9.21 x_{5} & -9.14 x_{6} & -0.05 x_{17} & -0.08 x_{23} & -0.47 x_{27} & +  0.04 x_{21} & +  9.14 x_{11} & +  3.67 x_{15} & -0.17 x_{32} & -6.00 x_{14} & -0.41 x_{18}\\
 x_{28}   &  1.1323340583 & + 13.42 x_{1} & + 12.08 x_{2} & -0.29 x_{20} & +  7.29 x_{4} & -10.63 x_{5} & -14.62 x_{6} & -0.07 x_{17} & -0.61 x_{23} & -0.11 x_{27} & -0.52 x_{21} & +  0.47 x_{11} & +  4.29 x_{15} & +  0.14 x_{32} & + 12.57 x_{14} & -0.36 x_{18}\\
\hline
z    &  0.636154474362 & +  5.90 x_{1} & -4.09 x_{2} & -0.02 x_{20} & -3.91 x_{4} & +  0.80 x_{5} & +  1.53 x_{6} & -0.16 x_{17} & -0.04 x_{23} & +  0.37 x_{27} & -0.09 x_{21} & -6.79 x_{11} & -3.58 x_{15} & -0.09 x_{32} & +  8.77 x_{14} & -0.07 x_{18}\\
\end{array}\]


 $ x_{1} $ enters and $ x_{31} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  39.2765373637 & +  1.44 x_{31} & + 21.28 x_{2} & -0.45 x_{20} & -17.77 x_{4} & -14.07 x_{5} & + 17.80 x_{6} & +  0.39 x_{17} & -0.72 x_{23} & +  0.02 x_{27} & +  0.74 x_{21} & -9.69 x_{11} & + 18.42 x_{15} & +  0.08 x_{32} & -2.14 x_{14} & -2.18 x_{18}\\
 x_{13}   &  1.91880334748 & -0.03 x_{31} & +  0.56 x_{2} & +  0.02 x_{20} & +  0.68 x_{4} & -0.36 x_{5} & -0.11 x_{6} & +  0.02 x_{17} & -0.06 x_{23} & +  0.01 x_{27} & -0.02 x_{21} & +  0.49 x_{11} & +  0.63 x_{15} & +  0.03 x_{32} & -0.02 x_{14} & -0.02 x_{18}\\
 x_{10}   &  1.93672955691 & +  0.04 x_{31} & +  0.64 x_{2} & +  0.01 x_{20} & -0.59 x_{4} & -0.36 x_{5} & +  0.47 x_{6} & +  0.04 x_{17} & -0.04 x_{23} & +  0.00 x_{27} & +  0.05 x_{21} & -0.07 x_{11} & +  0.76 x_{15} & -0.02 x_{32} & -0.29 x_{14} & -0.08 x_{18}\\
 x_{19}   &  17.4847634697 & -0.24 x_{31} & +  9.01 x_{2} & -0.38 x_{20} & + 11.83 x_{4} & -8.64 x_{5} & -13.07 x_{6} & +  0.22 x_{17} & -0.64 x_{23} & +  0.01 x_{27} & -0.97 x_{21} & +  6.25 x_{11} & -4.11 x_{15} & +  0.38 x_{32} & -2.56 x_{14} & +  0.32 x_{18}\\
 x_{22}   &  3.92467639093 & -0.10 x_{31} & -2.96 x_{2} & -0.29 x_{20} & +  0.69 x_{4} & -11.58 x_{5} & -3.61 x_{6} & +  0.32 x_{17} & +  0.28 x_{23} & +  0.00 x_{27} & -0.03 x_{21} & +  7.19 x_{11} & +  6.22 x_{15} & +  0.88 x_{32} & -4.84 x_{14} & +  0.48 x_{18}\\
 x_{3}   &  0.354741641674 & +  0.04 x_{31} & +  0.61 x_{2} & +  0.02 x_{20} & +  0.31 x_{4} & +  0.46 x_{5} & +  0.35 x_{6} & -0.01 x_{17} & +  0.04 x_{23} & -0.05 x_{27} & -0.01 x_{21} & -0.43 x_{11} & -1.64 x_{15} & +  0.02 x_{32} & -0.40 x_{14} & +  0.08 x_{18}\\
 x_{7}   &  2.41759895212 & -0.01 x_{31} & -0.41 x_{2} & +  0.03 x_{20} & +  0.46 x_{4} & +  1.28 x_{5} & -0.02 x_{6} & +  0.00 x_{17} & +  0.05 x_{23} & +  0.01 x_{27} & -0.06 x_{21} & +  0.08 x_{11} & -0.85 x_{15} & -0.01 x_{32} & +  0.12 x_{14} & +  0.08 x_{18}\\
 x_{8}   &  0.780106312563 & -0.09 x_{31} & -1.18 x_{2} & -0.04 x_{20} & +  0.89 x_{4} & -2.18 x_{5} & -0.92 x_{6} & +  0.08 x_{17} & -0.03 x_{23} & +  0.01 x_{27} & +  0.04 x_{21} & +  1.45 x_{11} & +  2.54 x_{15} & +  0.01 x_{32} & -0.26 x_{14} & -0.06 x_{18}\\
 x_{24}   &  10.2775362608 & -0.41 x_{31} & -9.18 x_{2} & +  0.43 x_{20} & -6.56 x_{4} & -11.40 x_{5} & +  4.73 x_{6} & +  0.27 x_{17} & -0.16 x_{23} & +  0.19 x_{27} & +  0.11 x_{21} & -4.67 x_{11} & +  9.31 x_{15} & -0.42 x_{32} & -1.09 x_{14} & -0.93 x_{18}\\
 x_{9}   &  1.40523145286 & +  0.00 x_{31} & -1.22 x_{2} & +  0.03 x_{20} & -0.84 x_{4} & +  1.84 x_{5} & +  0.05 x_{6} & -0.07 x_{17} & +  0.04 x_{23} & +  0.05 x_{27} & -0.01 x_{21} & -0.82 x_{11} & -0.97 x_{15} & -0.05 x_{32} & +  0.34 x_{14} & +  0.10 x_{18}\\
 x_{26}   &  27.818899481 & -0.35 x_{31} & -14.80 x_{2} & -0.24 x_{20} & -5.07 x_{4} & -6.32 x_{5} & -6.17 x_{6} & +  0.92 x_{17} & -0.24 x_{23} & +  0.60 x_{27} & +  0.31 x_{21} & +  4.05 x_{11} & + 17.31 x_{15} & -0.45 x_{32} & +  4.00 x_{14} & -0.57 x_{18}\\
 x_{25}   &  15.8397982606 & -1.01 x_{31} & -13.89 x_{2} & +  0.40 x_{20} & +  8.00 x_{4} & -7.39 x_{5} & -6.19 x_{6} & +  0.06 x_{17} & -0.12 x_{23} & +  0.37 x_{27} & +  0.09 x_{21} & +  5.22 x_{11} & +  9.42 x_{15} & +  0.37 x_{32} & -3.25 x_{14} & -0.61 x_{18}\\
 x_{12}   &  0.329348025243 & +  0.02 x_{31} & +  0.30 x_{2} & -0.01 x_{20} & -0.87 x_{4} & -1.35 x_{5} & +  1.03 x_{6} & +  0.03 x_{17} & +  0.00 x_{23} & +  0.01 x_{27} & +  0.06 x_{21} & +  0.11 x_{11} & +  0.66 x_{15} & +  0.05 x_{32} & -0.12 x_{14} & -0.09 x_{18}\\
 x_{29}   &  24.6642610357 & +  0.35 x_{31} & -21.99 x_{2} & +  0.59 x_{20} & -3.76 x_{4} & + 42.27 x_{5} & -4.48 x_{6} & -0.91 x_{17} & +  0.71 x_{23} & +  0.77 x_{27} & -1.23 x_{21} & -5.72 x_{11} & -27.55 x_{15} & -0.94 x_{32} & +  5.65 x_{14} & +  2.66 x_{18}\\
 x_{30}   &  16.7491259038 & +  0.03 x_{31} & +  2.66 x_{2} & -0.46 x_{20} & -11.01 x_{4} & -19.51 x_{5} & + 13.27 x_{6} & -0.02 x_{17} & -0.36 x_{23} & +  0.40 x_{27} & +  0.83 x_{21} & +  3.36 x_{11} & + 12.02 x_{15} & +  0.56 x_{32} & +  2.37 x_{14} & -1.29 x_{18}\\
 x_{1}   &  0.0866138392715 & -0.06 x_{31} & -0.00 x_{2} & +  0.03 x_{20} & +  0.32 x_{4} & -0.52 x_{5} & -0.52 x_{6} & -0.00 x_{17} & -0.00 x_{23} & -0.03 x_{27} & +  0.00 x_{21} & +  0.52 x_{11} & +  0.21 x_{15} & -0.01 x_{32} & -0.34 x_{14} & -0.02 x_{18}\\
 x_{28}   &  2.29471551147 & -0.76 x_{31} & + 12.06 x_{2} & +  0.14 x_{20} & + 11.58 x_{4} & -17.66 x_{5} & -21.58 x_{6} & -0.11 x_{17} & -0.68 x_{23} & -0.47 x_{27} & -0.49 x_{21} & +  7.43 x_{11} & +  7.09 x_{15} & +  0.00 x_{32} & +  8.00 x_{14} & -0.68 x_{18}\\
\hline
z    &  1.14678674438 & -0.33 x_{31} & -4.09 x_{2} & +  0.17 x_{20} & -2.03 x_{4} & -2.28 x_{5} & -1.53 x_{6} & -0.17 x_{17} & -0.07 x_{23} & +  0.21 x_{27} & -0.08 x_{21} & -3.73 x_{11} & -2.35 x_{15} & -0.15 x_{32} & +  6.76 x_{14} & -0.21 x_{18}\\
\end{array}\]


 $ x_{14} $ enters and $ x_{1} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  38.7314515752 & +  1.80 x_{31} & + 21.28 x_{2} & -0.65 x_{20} & -19.78 x_{4} & -10.78 x_{5} & + 21.07 x_{6} & +  0.40 x_{17} & -0.69 x_{23} & +  0.19 x_{27} & +  0.72 x_{21} & -12.95 x_{11} & + 17.10 x_{15} & +  0.14 x_{32} & +  6.29 x_{1} & -2.03 x_{18}\\
 x_{13}   &  1.91324344554 & -0.03 x_{31} & +  0.56 x_{2} & +  0.02 x_{20} & +  0.66 x_{4} & -0.33 x_{5} & -0.08 x_{6} & +  0.02 x_{17} & -0.06 x_{23} & +  0.01 x_{27} & -0.02 x_{21} & +  0.46 x_{11} & +  0.61 x_{15} & +  0.03 x_{32} & +  0.06 x_{1} & -0.02 x_{18}\\
 x_{10}   &  1.8618852846 & +  0.09 x_{31} & +  0.64 x_{2} & -0.01 x_{20} & -0.87 x_{4} & +  0.09 x_{5} & +  0.92 x_{6} & +  0.04 x_{17} & -0.04 x_{23} & +  0.03 x_{27} & +  0.04 x_{21} & -0.52 x_{11} & +  0.58 x_{15} & -0.01 x_{32} & +  0.86 x_{1} & -0.06 x_{18}\\
 x_{19}   &  16.8331532372 & +  0.19 x_{31} & +  9.02 x_{2} & -0.62 x_{20} & +  9.43 x_{4} & -4.71 x_{5} & -9.16 x_{6} & +  0.24 x_{17} & -0.60 x_{23} & +  0.21 x_{27} & -0.99 x_{21} & +  2.35 x_{11} & -5.68 x_{15} & +  0.45 x_{32} & +  7.52 x_{1} & +  0.50 x_{18}\\
 x_{22}   &  2.69252277976 & +  0.71 x_{31} & -2.95 x_{2} & -0.75 x_{20} & -3.86 x_{4} & -4.14 x_{5} & +  3.77 x_{6} & +  0.36 x_{17} & +  0.35 x_{23} & +  0.39 x_{27} & -0.06 x_{21} & -0.19 x_{11} & +  3.25 x_{15} & +  1.02 x_{32} & + 14.23 x_{1} & +  0.81 x_{18}\\
 x_{3}   &  0.253114339639 & +  0.11 x_{31} & +  0.61 x_{2} & -0.02 x_{20} & -0.07 x_{4} & +  1.08 x_{5} & +  0.96 x_{6} & -0.01 x_{17} & +  0.04 x_{23} & -0.02 x_{27} & -0.02 x_{21} & -1.04 x_{11} & -1.89 x_{15} & +  0.03 x_{32} & +  1.17 x_{1} & +  0.11 x_{18}\\
 x_{7}   &  2.44884937653 & -0.03 x_{31} & -0.41 x_{2} & +  0.04 x_{20} & +  0.57 x_{4} & +  1.10 x_{5} & -0.21 x_{6} & -0.00 x_{17} & +  0.05 x_{23} & +  0.00 x_{27} & -0.06 x_{21} & +  0.27 x_{11} & -0.78 x_{15} & -0.02 x_{32} & -0.36 x_{1} & +  0.08 x_{18}\\
 x_{8}   &  0.715221692523 & -0.05 x_{31} & -1.18 x_{2} & -0.07 x_{20} & +  0.65 x_{4} & -1.78 x_{5} & -0.53 x_{6} & +  0.08 x_{17} & -0.03 x_{23} & +  0.03 x_{27} & +  0.04 x_{21} & +  1.06 x_{11} & +  2.39 x_{15} & +  0.02 x_{32} & +  0.75 x_{1} & -0.04 x_{18}\\
 x_{24}   &  9.99939263277 & -0.23 x_{31} & -9.17 x_{2} & +  0.32 x_{20} & -7.59 x_{4} & -9.72 x_{5} & +  6.39 x_{6} & +  0.28 x_{17} & -0.15 x_{23} & +  0.28 x_{27} & +  0.10 x_{21} & -6.33 x_{11} & +  8.64 x_{15} & -0.39 x_{32} & +  3.21 x_{1} & -0.85 x_{18}\\
 x_{9}   &  1.49147264077 & -0.05 x_{31} & -1.22 x_{2} & +  0.06 x_{20} & -0.53 x_{4} & +  1.32 x_{5} & -0.47 x_{6} & -0.07 x_{17} & +  0.04 x_{23} & +  0.03 x_{27} & -0.00 x_{21} & -0.30 x_{11} & -0.77 x_{15} & -0.06 x_{32} & -1.00 x_{1} & +  0.08 x_{18}\\
 x_{26}   &  28.8372829336 & -1.02 x_{31} & -14.81 x_{2} & +  0.14 x_{20} & -1.31 x_{4} & -12.47 x_{5} & -12.27 x_{6} & +  0.88 x_{17} & -0.30 x_{23} & +  0.28 x_{27} & +  0.34 x_{21} & + 10.15 x_{11} & + 19.77 x_{15} & -0.57 x_{32} & -11.76 x_{1} & -0.85 x_{18}\\
 x_{25}   &  15.013967762 & -0.47 x_{31} & -13.88 x_{2} & +  0.09 x_{20} & +  4.96 x_{4} & -2.40 x_{5} & -1.24 x_{6} & +  0.09 x_{17} & -0.08 x_{23} & +  0.63 x_{27} & +  0.07 x_{21} & +  0.27 x_{11} & +  7.43 x_{15} & +  0.46 x_{32} & +  9.53 x_{1} & -0.39 x_{18}\\
 x_{12}   &  0.29878381943 & +  0.04 x_{31} & +  0.30 x_{2} & -0.02 x_{20} & -0.99 x_{4} & -1.16 x_{5} & +  1.22 x_{6} & +  0.03 x_{17} & +  0.00 x_{23} & +  0.01 x_{27} & +  0.06 x_{21} & -0.07 x_{11} & +  0.58 x_{15} & +  0.05 x_{32} & +  0.35 x_{1} & -0.08 x_{18}\\
 x_{29}   &  26.1004793195 & -0.59 x_{31} & -22.00 x_{2} & +  1.12 x_{20} & +  1.54 x_{4} & + 33.59 x_{5} & -13.09 x_{6} & -0.96 x_{17} & +  0.63 x_{23} & +  0.33 x_{27} & -1.19 x_{21} & +  2.89 x_{11} & -24.09 x_{15} & -1.11 x_{32} & -16.58 x_{1} & +  2.27 x_{18}\\
 x_{30}   &  17.3512062378 & -0.36 x_{31} & +  2.65 x_{2} & -0.24 x_{20} & -8.79 x_{4} & -23.14 x_{5} & +  9.66 x_{6} & -0.04 x_{17} & -0.40 x_{23} & +  0.21 x_{27} & +  0.85 x_{21} & +  6.97 x_{11} & + 13.47 x_{15} & +  0.49 x_{32} & -6.95 x_{1} & -1.45 x_{18}\\
 x_{14}   &  0.254314642011 & -0.17 x_{31} & -0.00 x_{2} & +  0.09 x_{20} & +  0.94 x_{4} & -1.54 x_{5} & -1.52 x_{6} & -0.01 x_{17} & -0.01 x_{23} & -0.08 x_{27} & +  0.01 x_{21} & +  1.52 x_{11} & +  0.61 x_{15} & -0.03 x_{32} & -2.94 x_{1} & -0.07 x_{18}\\
 x_{28}   &  4.32843774904 & -2.10 x_{31} & + 12.04 x_{2} & +  0.89 x_{20} & + 19.09 x_{4} & -29.94 x_{5} & -33.77 x_{6} & -0.18 x_{17} & -0.79 x_{23} & -1.10 x_{27} & -0.44 x_{21} & + 19.61 x_{11} & + 11.99 x_{15} & -0.23 x_{32} & -23.48 x_{1} & -1.23 x_{18}\\
\hline
z    &  2.86602212448 & -1.46 x_{31} & -4.11 x_{2} & +  0.80 x_{20} & +  4.32 x_{4} & -12.67 x_{5} & -11.83 x_{6} & -0.23 x_{17} & -0.16 x_{23} & -0.33 x_{27} & -0.04 x_{21} & +  6.57 x_{11} & +  1.80 x_{15} & -0.34 x_{32} & -19.85 x_{1} & -0.68 x_{18}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{12} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  32.7329360402 & +  1.04 x_{31} & + 15.27 x_{2} & -0.31 x_{20} & + 20.08 x_{12} & + 12.58 x_{5} & -3.39 x_{6} & -0.28 x_{17} & -0.77 x_{23} & -0.11 x_{27} & -0.46 x_{21} & -11.57 x_{11} & +  5.39 x_{15} & -0.88 x_{32} & -0.79 x_{1} & -0.38 x_{18}\\
 x_{13}   &  2.11220428904 & -0.00 x_{31} & +  0.76 x_{2} & +  0.00 x_{20} & -0.67 x_{12} & -1.10 x_{5} & +  0.73 x_{6} & +  0.04 x_{17} & -0.05 x_{23} & +  0.02 x_{27} & +  0.02 x_{21} & +  0.41 x_{11} & +  1.00 x_{15} & +  0.06 x_{32} & +  0.30 x_{1} & -0.07 x_{18}\\
 x_{10}   &  1.59806205652 & +  0.05 x_{31} & +  0.38 x_{2} & +  0.00 x_{20} & +  0.88 x_{12} & +  1.12 x_{5} & -0.16 x_{6} & +  0.01 x_{17} & -0.04 x_{23} & +  0.01 x_{27} & -0.01 x_{21} & -0.46 x_{11} & +  0.06 x_{15} & -0.05 x_{32} & +  0.55 x_{1} & +  0.01 x_{18}\\
 x_{19}   &  19.6915362935 & +  0.55 x_{31} & + 11.89 x_{2} & -0.79 x_{20} & -9.57 x_{12} & -15.84 x_{5} & +  2.49 x_{6} & +  0.56 x_{17} & -0.56 x_{23} & +  0.35 x_{27} & -0.43 x_{21} & +  1.69 x_{11} & -0.10 x_{15} & +  0.94 x_{32} & + 10.90 x_{1} & -0.29 x_{18}\\
 x_{22}   &  1.52346038085 & +  0.56 x_{31} & -4.12 x_{2} & -0.68 x_{20} & +  3.91 x_{12} & +  0.41 x_{5} & -0.99 x_{6} & +  0.23 x_{17} & +  0.33 x_{23} & +  0.33 x_{27} & -0.29 x_{21} & +  0.08 x_{11} & +  0.97 x_{15} & +  0.82 x_{32} & + 12.85 x_{1} & +  1.13 x_{18}\\
 x_{3}   &  0.232391475522 & +  0.11 x_{31} & +  0.59 x_{2} & -0.01 x_{20} & +  0.07 x_{12} & +  1.16 x_{5} & +  0.88 x_{6} & -0.01 x_{17} & +  0.04 x_{23} & -0.02 x_{27} & -0.02 x_{21} & -1.04 x_{11} & -1.93 x_{15} & +  0.03 x_{32} & +  1.15 x_{1} & +  0.11 x_{18}\\
 x_{7}   &  2.62304588912 & -0.01 x_{31} & -0.23 x_{2} & +  0.03 x_{20} & -0.58 x_{12} & +  0.42 x_{5} & +  0.50 x_{6} & +  0.02 x_{17} & +  0.05 x_{23} & +  0.01 x_{27} & -0.03 x_{21} & +  0.23 x_{11} & -0.44 x_{15} & +  0.01 x_{32} & -0.16 x_{1} & +  0.03 x_{18}\\
 x_{8}   &  0.913177947567 & -0.02 x_{31} & -0.98 x_{2} & -0.08 x_{20} & -0.66 x_{12} & -2.55 x_{5} & +  0.28 x_{6} & +  0.11 x_{17} & -0.02 x_{23} & +  0.04 x_{27} & +  0.08 x_{21} & +  1.01 x_{11} & +  2.77 x_{15} & +  0.06 x_{32} & +  0.98 x_{1} & -0.10 x_{18}\\
 x_{24}   &  7.69925271732 & -0.52 x_{31} & -11.48 x_{2} & +  0.46 x_{20} & +  7.70 x_{12} & -0.76 x_{5} & -2.98 x_{6} & +  0.02 x_{17} & -0.18 x_{23} & +  0.17 x_{27} & -0.35 x_{21} & -5.80 x_{11} & +  4.15 x_{15} & -0.78 x_{32} & +  0.49 x_{1} & -0.22 x_{18}\\
 x_{9}   &  1.33221107273 & -0.07 x_{31} & -1.38 x_{2} & +  0.07 x_{20} & +  0.53 x_{12} & +  1.94 x_{5} & -1.12 x_{6} & -0.09 x_{17} & +  0.03 x_{23} & +  0.02 x_{27} & -0.04 x_{21} & -0.27 x_{11} & -1.08 x_{15} & -0.08 x_{32} & -1.18 x_{1} & +  0.12 x_{18}\\
 x_{26}   &  28.4400408493 & -1.07 x_{31} & -15.21 x_{2} & +  0.16 x_{20} & +  1.33 x_{12} & -10.92 x_{5} & -13.89 x_{6} & +  0.84 x_{17} & -0.30 x_{23} & +  0.26 x_{27} & +  0.26 x_{21} & + 10.24 x_{11} & + 18.99 x_{15} & -0.63 x_{32} & -12.23 x_{1} & -0.74 x_{18}\\
 x_{25}   &  16.5169531759 & -0.28 x_{31} & -12.37 x_{2} & +  0.01 x_{20} & -5.03 x_{12} & -8.25 x_{5} & +  4.89 x_{6} & +  0.26 x_{17} & -0.06 x_{23} & +  0.70 x_{27} & +  0.37 x_{21} & -0.07 x_{11} & + 10.36 x_{15} & +  0.72 x_{32} & + 11.31 x_{1} & -0.80 x_{18}\\
 x_{4}   &  0.303197776025 & +  0.04 x_{31} & +  0.30 x_{2} & -0.02 x_{20} & -1.01 x_{12} & -1.18 x_{5} & +  1.24 x_{6} & +  0.03 x_{17} & +  0.00 x_{23} & +  0.02 x_{27} & +  0.06 x_{21} & -0.07 x_{11} & +  0.59 x_{15} & +  0.05 x_{32} & +  0.36 x_{1} & -0.08 x_{18}\\
 x_{29}   &  26.5666339466 & -0.53 x_{31} & -21.53 x_{2} & +  1.10 x_{20} & -1.56 x_{12} & + 31.77 x_{5} & -11.19 x_{6} & -0.91 x_{17} & +  0.64 x_{23} & +  0.35 x_{27} & -1.10 x_{21} & +  2.78 x_{11} & -23.18 x_{15} & -1.03 x_{32} & -16.03 x_{1} & +  2.14 x_{18}\\
 x_{30}   &  14.6855117545 & -0.70 x_{31} & -0.02 x_{2} & -0.08 x_{20} & +  8.92 x_{12} & -12.76 x_{5} & -1.21 x_{6} & -0.35 x_{17} & -0.43 x_{23} & +  0.08 x_{27} & +  0.32 x_{21} & +  7.58 x_{11} & +  8.27 x_{15} & +  0.04 x_{32} & -10.10 x_{1} & -0.72 x_{18}\\
 x_{14}   &  0.538793854676 & -0.13 x_{31} & +  0.28 x_{2} & +  0.08 x_{20} & -0.95 x_{12} & -2.64 x_{5} & -0.36 x_{6} & +  0.02 x_{17} & -0.01 x_{23} & -0.06 x_{27} & +  0.06 x_{21} & +  1.46 x_{11} & +  1.17 x_{15} & +  0.02 x_{32} & -2.60 x_{1} & -0.15 x_{18}\\
 x_{28}   &  10.115451006 & -1.36 x_{31} & + 17.85 x_{2} & +  0.57 x_{20} & -19.37 x_{12} & -52.48 x_{5} & -10.18 x_{6} & +  0.48 x_{17} & -0.71 x_{23} & -0.81 x_{27} & +  0.70 x_{21} & + 18.28 x_{11} & + 23.29 x_{15} & +  0.76 x_{32} & -16.65 x_{1} & -2.82 x_{18}\\
\hline
z    &  4.175055195 & -1.30 x_{31} & -2.80 x_{2} & +  0.73 x_{20} & -4.38 x_{12} & -17.77 x_{5} & -6.50 x_{6} & -0.08 x_{17} & -0.15 x_{23} & -0.26 x_{27} & +  0.22 x_{21} & +  6.27 x_{11} & +  4.35 x_{15} & -0.12 x_{32} & -18.30 x_{1} & -1.04 x_{18}\\
\end{array}\]


 $ x_{11} $ enters and $ x_{3} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  30.1359714073 & -0.18 x_{31} & +  8.71 x_{2} & -0.14 x_{20} & + 19.30 x_{12} & -0.36 x_{5} & -13.21 x_{6} & -0.17 x_{17} & -1.26 x_{23} & +  0.14 x_{27} & -0.23 x_{21} & + 11.17 x_{3} & + 26.91 x_{15} & -1.22 x_{32} & -13.63 x_{1} & -1.64 x_{18}\\
 x_{13}   &  2.20442236858 & +  0.04 x_{31} & +  0.99 x_{2} & -0.00 x_{20} & -0.64 x_{12} & -0.64 x_{5} & +  1.08 x_{6} & +  0.04 x_{17} & -0.04 x_{23} & +  0.01 x_{27} & +  0.01 x_{21} & -0.40 x_{3} & +  0.24 x_{15} & +  0.08 x_{32} & +  0.76 x_{1} & -0.03 x_{18}\\
 x_{10}   &  1.49439674169 & +  0.01 x_{31} & +  0.12 x_{2} & +  0.01 x_{20} & +  0.85 x_{12} & +  0.60 x_{5} & -0.55 x_{6} & +  0.02 x_{17} & -0.06 x_{23} & +  0.02 x_{27} & +  0.00 x_{21} & +  0.45 x_{3} & +  0.92 x_{15} & -0.07 x_{32} & +  0.04 x_{1} & -0.04 x_{18}\\
 x_{19}   &  20.0713013612 & +  0.73 x_{31} & + 12.85 x_{2} & -0.81 x_{20} & -9.45 x_{12} & -13.94 x_{5} & +  3.93 x_{6} & +  0.55 x_{17} & -0.49 x_{23} & +  0.31 x_{27} & -0.46 x_{21} & -1.63 x_{3} & -3.25 x_{15} & +  0.99 x_{32} & + 12.78 x_{1} & -0.10 x_{18}\\
 x_{22}   &  1.54036335139 & +  0.57 x_{31} & -4.08 x_{2} & -0.68 x_{20} & +  3.92 x_{12} & +  0.50 x_{5} & -0.93 x_{6} & +  0.23 x_{17} & +  0.34 x_{23} & +  0.32 x_{27} & -0.29 x_{21} & -0.07 x_{3} & +  0.83 x_{15} & +  0.82 x_{32} & + 12.93 x_{1} & +  1.14 x_{18}\\
 x_{11}   &  0.224424252059 & +  0.11 x_{31} & +  0.57 x_{2} & -0.01 x_{20} & +  0.07 x_{12} & +  1.12 x_{5} & +  0.85 x_{6} & -0.01 x_{17} & +  0.04 x_{23} & -0.02 x_{27} & -0.02 x_{21} & -0.97 x_{3} & -1.86 x_{15} & +  0.03 x_{32} & +  1.11 x_{1} & +  0.11 x_{18}\\
 x_{7}   &  2.67400750531 & +  0.01 x_{31} & -0.11 x_{2} & +  0.03 x_{20} & -0.57 x_{12} & +  0.67 x_{5} & +  0.70 x_{6} & +  0.02 x_{17} & +  0.06 x_{23} & +  0.00 x_{27} & -0.03 x_{21} & -0.22 x_{3} & -0.86 x_{15} & +  0.02 x_{32} & +  0.10 x_{1} & +  0.05 x_{18}\\
 x_{8}   &  1.14091115892 & +  0.09 x_{31} & -0.40 x_{2} & -0.09 x_{20} & -0.59 x_{12} & -1.42 x_{5} & +  1.14 x_{6} & +  0.10 x_{17} & +  0.02 x_{23} & +  0.02 x_{27} & +  0.06 x_{21} & -0.98 x_{3} & +  0.88 x_{15} & +  0.09 x_{32} & +  2.11 x_{1} & +  0.01 x_{18}\\
 x_{24}   &  6.39668011605 & -1.13 x_{31} & -14.77 x_{2} & +  0.54 x_{20} & +  7.31 x_{12} & -7.25 x_{5} & -7.91 x_{6} & +  0.07 x_{17} & -0.43 x_{23} & +  0.29 x_{27} & -0.24 x_{21} & +  5.61 x_{3} & + 14.94 x_{15} & -0.95 x_{32} & -5.94 x_{1} & -0.85 x_{18}\\
 x_{9}   &  1.27220000547 & -0.10 x_{31} & -1.53 x_{2} & +  0.07 x_{20} & +  0.52 x_{12} & +  1.64 x_{5} & -1.35 x_{6} & -0.08 x_{17} & +  0.02 x_{23} & +  0.02 x_{27} & -0.03 x_{21} & +  0.26 x_{3} & -0.58 x_{15} & -0.09 x_{32} & -1.48 x_{1} & +  0.09 x_{18}\\
 x_{26}   &  30.7389385887 & +  0.01 x_{31} & -9.40 x_{2} & +  0.01 x_{20} & +  2.02 x_{12} & +  0.54 x_{5} & -5.19 x_{6} & +  0.75 x_{17} & +  0.14 x_{23} & +  0.04 x_{27} & +  0.06 x_{21} & -9.89 x_{3} & -0.06 x_{15} & -0.34 x_{32} & -0.86 x_{1} & +  0.37 x_{18}\\
 x_{25}   &  16.5002705989 & -0.29 x_{31} & -12.42 x_{2} & +  0.01 x_{20} & -5.04 x_{12} & -8.33 x_{5} & +  4.82 x_{6} & +  0.26 x_{17} & -0.06 x_{23} & +  0.70 x_{27} & +  0.37 x_{21} & +  0.07 x_{3} & + 10.50 x_{15} & +  0.71 x_{32} & + 11.23 x_{1} & -0.81 x_{18}\\
 x_{4}   &  0.287520015922 & +  0.03 x_{31} & +  0.26 x_{2} & -0.02 x_{20} & -1.02 x_{12} & -1.26 x_{5} & +  1.18 x_{6} & +  0.03 x_{17} & +  0.00 x_{23} & +  0.02 x_{27} & +  0.06 x_{21} & +  0.07 x_{3} & +  0.72 x_{15} & +  0.05 x_{32} & +  0.28 x_{1} & -0.09 x_{18}\\
 x_{29}   &  27.1900589164 & -0.24 x_{31} & -19.96 x_{2} & +  1.06 x_{20} & -1.37 x_{12} & + 34.88 x_{5} & -8.83 x_{6} & -0.93 x_{17} & +  0.76 x_{23} & +  0.29 x_{27} & -1.16 x_{21} & -2.68 x_{3} & -28.35 x_{15} & -0.95 x_{32} & -12.95 x_{1} & +  2.44 x_{18}\\
 x_{30}   &  16.3866400529 & +  0.09 x_{31} & +  4.27 x_{2} & -0.19 x_{20} & +  9.43 x_{12} & -4.28 x_{5} & +  5.23 x_{6} & -0.42 x_{17} & -0.11 x_{23} & -0.09 x_{27} & +  0.17 x_{21} & -7.32 x_{3} & -5.83 x_{15} & +  0.26 x_{32} & -1.69 x_{1} & +  0.11 x_{18}\\
 x_{14}   &  0.86598257852 & +  0.02 x_{31} & +  1.11 x_{2} & +  0.06 x_{20} & -0.85 x_{12} & -1.01 x_{5} & +  0.87 x_{6} & +  0.01 x_{17} & +  0.05 x_{23} & -0.10 x_{27} & +  0.03 x_{21} & -1.41 x_{3} & -1.54 x_{15} & +  0.06 x_{32} & -0.98 x_{1} & +  0.01 x_{18}\\
 x_{28}   &  14.217823092 & +  0.56 x_{31} & + 28.21 x_{2} & +  0.30 x_{20} & -18.14 x_{12} & -32.03 x_{5} & +  5.34 x_{6} & +  0.31 x_{17} & +  0.08 x_{23} & -1.21 x_{27} & +  0.34 x_{21} & -17.65 x_{3} & -10.71 x_{15} & +  1.29 x_{32} & +  3.64 x_{1} & -0.83 x_{18}\\
\hline
z    &  5.58220245212 & -0.64 x_{31} & +  0.76 x_{2} & +  0.64 x_{20} & -3.96 x_{12} & -10.76 x_{5} & -1.17 x_{6} & -0.14 x_{17} & +  0.12 x_{23} & -0.40 x_{27} & +  0.10 x_{21} & -6.06 x_{3} & -7.31 x_{15} & +  0.07 x_{32} & -11.35 x_{1} & -0.36 x_{18}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{22} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  33.4282706808 & +  1.04 x_{31} & -2.14 x_{22} & -1.60 x_{20} & + 27.68 x_{12} & +  0.70 x_{5} & -15.20 x_{6} & +  0.32 x_{17} & -0.55 x_{23} & +  0.83 x_{27} & -0.86 x_{21} & + 11.02 x_{3} & + 28.67 x_{15} & +  0.54 x_{32} & + 14.00 x_{1} & +  0.80 x_{18}\\
 x_{13}   &  2.5785777391 & +  0.18 x_{31} & -0.24 x_{22} & -0.17 x_{20} & +  0.31 x_{12} & -0.52 x_{5} & +  0.86 x_{6} & +  0.10 x_{17} & +  0.05 x_{23} & +  0.09 x_{27} & -0.06 x_{21} & -0.41 x_{3} & +  0.44 x_{15} & +  0.28 x_{32} & +  3.90 x_{1} & +  0.25 x_{18}\\
 x_{10}   &  1.53832596604 & +  0.02 x_{31} & -0.03 x_{22} & -0.01 x_{20} & +  0.96 x_{12} & +  0.62 x_{5} & -0.58 x_{6} & +  0.02 x_{17} & -0.05 x_{23} & +  0.03 x_{27} & -0.01 x_{21} & +  0.44 x_{3} & +  0.95 x_{15} & -0.04 x_{32} & +  0.41 x_{1} & -0.00 x_{18}\\
 x_{19}   &  24.9271580999 & +  2.53 x_{31} & -3.15 x_{22} & -2.96 x_{20} & +  2.90 x_{12} & -12.37 x_{5} & +  1.00 x_{6} & +  1.27 x_{17} & +  0.57 x_{23} & +  1.34 x_{27} & -1.39 x_{21} & -1.86 x_{3} & -0.64 x_{15} & +  3.58 x_{32} & + 53.53 x_{1} & +  3.50 x_{18}\\
 x_{2}   &  0.378000656744 & +  0.14 x_{31} & -0.25 x_{22} & -0.17 x_{20} & +  0.96 x_{12} & +  0.12 x_{5} & -0.23 x_{6} & +  0.06 x_{17} & +  0.08 x_{23} & +  0.08 x_{27} & -0.07 x_{21} & -0.02 x_{3} & +  0.20 x_{15} & +  0.20 x_{32} & +  3.17 x_{1} & +  0.28 x_{18}\\
 x_{11}   &  0.438671215099 & +  0.18 x_{31} & -0.14 x_{22} & -0.11 x_{20} & +  0.61 x_{12} & +  1.19 x_{5} & +  0.72 x_{6} & +  0.02 x_{17} & +  0.09 x_{23} & +  0.02 x_{27} & -0.06 x_{21} & -0.98 x_{3} & -1.75 x_{15} & +  0.14 x_{32} & +  2.91 x_{1} & +  0.27 x_{18}\\
 x_{7}   &  2.6338668626 & -0.00 x_{31} & +  0.03 x_{22} & +  0.04 x_{20} & -0.67 x_{12} & +  0.66 x_{5} & +  0.72 x_{6} & +  0.01 x_{17} & +  0.05 x_{23} & -0.00 x_{27} & -0.02 x_{21} & -0.22 x_{3} & -0.88 x_{15} & -0.00 x_{32} & -0.24 x_{1} & +  0.02 x_{18}\\
 x_{8}   &  0.988300750221 & +  0.03 x_{31} & +  0.10 x_{22} & -0.03 x_{20} & -0.98 x_{12} & -1.47 x_{5} & +  1.23 x_{6} & +  0.07 x_{17} & -0.01 x_{23} & -0.01 x_{27} & +  0.09 x_{21} & -0.97 x_{3} & +  0.80 x_{15} & +  0.00 x_{32} & +  0.83 x_{1} & -0.10 x_{18}\\
 x_{24}   &  0.813368956537 & -3.20 x_{31} & +  3.62 x_{22} & +  3.01 x_{20} & -6.89 x_{12} & -9.06 x_{5} & -4.54 x_{6} & -0.76 x_{17} & -1.65 x_{23} & -0.88 x_{27} & +  0.83 x_{21} & +  5.87 x_{3} & + 11.95 x_{15} & -3.93 x_{32} & -52.81 x_{1} & -4.99 x_{18}\\
 x_{9}   &  0.694519924303 & -0.32 x_{31} & +  0.38 x_{22} & +  0.33 x_{20} & -0.95 x_{12} & +  1.46 x_{5} & -1.00 x_{6} & -0.17 x_{17} & -0.10 x_{23} & -0.10 x_{27} & +  0.08 x_{21} & +  0.29 x_{3} & -0.89 x_{15} & -0.40 x_{32} & -6.33 x_{1} & -0.34 x_{18}\\
 x_{26}   &  27.1857164443 & -1.31 x_{31} & +  2.31 x_{22} & +  1.59 x_{20} & -7.02 x_{12} & -0.61 x_{5} & -3.05 x_{6} & +  0.22 x_{17} & -0.64 x_{23} & -0.71 x_{27} & +  0.74 x_{21} & -9.72 x_{3} & -1.97 x_{15} & -2.23 x_{32} & -30.69 x_{1} & -2.26 x_{18}\\
 x_{25}   &  11.8067738523 & -2.02 x_{31} & +  3.05 x_{22} & +  2.09 x_{20} & -16.97 x_{12} & -9.85 x_{5} & +  7.65 x_{6} & -0.44 x_{17} & -1.08 x_{23} & -0.29 x_{27} & +  1.27 x_{21} & +  0.29 x_{3} & +  7.99 x_{15} & -1.79 x_{32} & -28.17 x_{1} & -4.29 x_{18}\\
 x_{4}   &  0.387492939667 & +  0.07 x_{31} & -0.06 x_{22} & -0.06 x_{20} & -0.77 x_{12} & -1.23 x_{5} & +  1.12 x_{6} & +  0.05 x_{17} & +  0.02 x_{23} & +  0.04 x_{27} & +  0.04 x_{21} & +  0.06 x_{3} & +  0.78 x_{15} & +  0.10 x_{32} & +  1.12 x_{1} & -0.02 x_{18}\\
 x_{29}   &  19.6450474348 & -3.04 x_{31} & +  4.90 x_{22} & +  4.40 x_{20} & -20.56 x_{12} & + 32.44 x_{5} & -4.28 x_{6} & -2.06 x_{17} & -0.89 x_{23} & -1.30 x_{27} & +  0.28 x_{21} & -2.33 x_{3} & -32.40 x_{15} & -4.97 x_{32} & -76.28 x_{1} & -3.15 x_{18}\\
 x_{30}   &  18.0016486766 & +  0.69 x_{31} & -1.05 x_{22} & -0.91 x_{20} & + 13.54 x_{12} & -3.76 x_{5} & +  4.26 x_{6} & -0.17 x_{17} & +  0.25 x_{23} & +  0.25 x_{27} & -0.13 x_{21} & -7.40 x_{3} & -4.96 x_{15} & +  1.12 x_{32} & + 11.87 x_{1} & +  1.30 x_{18}\\
 x_{14}   &  1.28516105032 & +  0.18 x_{31} & -0.27 x_{22} & -0.13 x_{20} & +  0.21 x_{12} & -0.88 x_{5} & +  0.62 x_{6} & +  0.07 x_{17} & +  0.14 x_{23} & -0.01 x_{27} & -0.05 x_{21} & -1.43 x_{3} & -1.32 x_{15} & +  0.29 x_{32} & +  2.54 x_{1} & +  0.32 x_{18}\\
 x_{28}   &  24.8800293138 & +  4.51 x_{31} & -6.92 x_{22} & -4.42 x_{20} & +  8.97 x_{12} & -28.58 x_{5} & -1.09 x_{6} & +  1.90 x_{17} & +  2.40 x_{23} & +  1.04 x_{27} & -1.70 x_{21} & -18.16 x_{3} & -4.99 x_{15} & +  6.98 x_{32} & + 93.13 x_{1} & +  7.07 x_{18}\\
\hline
z    &  5.86848492216 & -0.53 x_{31} & -0.19 x_{22} & +  0.51 x_{20} & -3.23 x_{12} & -10.66 x_{5} & -1.35 x_{6} & -0.10 x_{17} & +  0.19 x_{23} & -0.34 x_{27} & +  0.04 x_{21} & -6.07 x_{3} & -7.16 x_{15} & +  0.22 x_{32} & -8.94 x_{1} & -0.15 x_{18}\\
\end{array}\]


 $ x_{20} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  29.8115253106 & -0.30 x_{31} & +  0.21 x_{22} & +  9.57 x_{2} & + 18.48 x_{12} & -0.47 x_{5} & -13.02 x_{6} & -0.22 x_{17} & -1.34 x_{23} & +  0.07 x_{27} & -0.17 x_{21} & + 11.19 x_{3} & + 26.73 x_{15} & -1.39 x_{32} & -16.35 x_{1} & -1.88 x_{18}\\
 x_{13}   &  2.20136230214 & +  0.04 x_{31} & +  0.00 x_{22} & +  1.00 x_{2} & -0.65 x_{12} & -0.64 x_{5} & +  1.09 x_{6} & +  0.04 x_{17} & -0.04 x_{23} & +  0.01 x_{27} & +  0.01 x_{21} & -0.40 x_{3} & +  0.24 x_{15} & +  0.07 x_{32} & +  0.73 x_{1} & -0.03 x_{18}\\
 x_{10}   &  1.51376547478 & +  0.01 x_{31} & -0.01 x_{22} & +  0.06 x_{2} & +  0.90 x_{12} & +  0.61 x_{5} & -0.56 x_{6} & +  0.02 x_{17} & -0.06 x_{23} & +  0.03 x_{27} & -0.00 x_{21} & +  0.45 x_{3} & +  0.93 x_{15} & -0.06 x_{32} & +  0.20 x_{1} & -0.02 x_{18}\\
 x_{19}   &  18.2369031992 & +  0.05 x_{31} & +  1.19 x_{22} & + 17.70 x_{2} & -14.12 x_{12} & -14.54 x_{5} & +  5.03 x_{6} & +  0.28 x_{17} & -0.89 x_{23} & -0.07 x_{27} & -0.11 x_{21} & -1.55 x_{3} & -4.23 x_{15} & +  0.01 x_{32} & -2.62 x_{1} & -1.46 x_{18}\\
 x_{20}   &  2.26009833577 & +  0.84 x_{31} & -1.47 x_{22} & -5.98 x_{2} & +  5.75 x_{12} & +  0.73 x_{5} & -1.36 x_{6} & +  0.34 x_{17} & +  0.49 x_{23} & +  0.48 x_{27} & -0.43 x_{21} & -0.11 x_{3} & +  1.21 x_{15} & +  1.21 x_{32} & + 18.97 x_{1} & +  1.68 x_{18}\\
 x_{11}   &  0.191694891095 & +  0.09 x_{31} & +  0.02 x_{22} & +  0.65 x_{2} & -0.02 x_{12} & +  1.11 x_{5} & +  0.87 x_{6} & -0.01 x_{17} & +  0.04 x_{23} & -0.03 x_{27} & -0.01 x_{21} & -0.96 x_{3} & -1.88 x_{15} & +  0.01 x_{32} & +  0.83 x_{1} & +  0.08 x_{18}\\
 x_{7}   &  2.73356369662 & +  0.04 x_{31} & -0.04 x_{22} & -0.26 x_{2} & -0.42 x_{12} & +  0.69 x_{5} & +  0.66 x_{6} & +  0.03 x_{17} & +  0.08 x_{23} & +  0.02 x_{27} & -0.04 x_{21} & -0.22 x_{3} & -0.83 x_{15} & +  0.05 x_{32} & +  0.60 x_{1} & +  0.10 x_{18}\\
 x_{8}   &  0.926376321486 & +  0.01 x_{31} & +  0.14 x_{22} & +  0.16 x_{2} & -1.14 x_{12} & -1.49 x_{5} & +  1.27 x_{6} & +  0.06 x_{17} & -0.03 x_{23} & -0.03 x_{27} & +  0.10 x_{21} & -0.97 x_{3} & +  0.77 x_{15} & -0.03 x_{32} & +  0.31 x_{1} & -0.15 x_{18}\\
 x_{24}   &  7.61576480195 & -0.68 x_{31} & -0.79 x_{22} & -18.00 x_{2} & + 10.41 x_{12} & -6.86 x_{5} & -8.65 x_{6} & +  0.25 x_{17} & -0.16 x_{23} & +  0.55 x_{27} & -0.47 x_{21} & +  5.55 x_{3} & + 15.60 x_{15} & -0.30 x_{32} & +  4.29 x_{1} & +  0.05 x_{18}\\
 x_{9}   &  1.44124218832 & -0.04 x_{31} & -0.11 x_{22} & -1.98 x_{2} & +  0.95 x_{12} & +  1.70 x_{5} & -1.45 x_{6} & -0.06 x_{17} & +  0.06 x_{23} & +  0.06 x_{27} & -0.06 x_{21} & +  0.25 x_{3} & -0.49 x_{15} & -0.00 x_{32} & -0.06 x_{1} & +  0.22 x_{18}\\
 x_{26}   &  30.7696097862 & +  0.02 x_{31} & -0.02 x_{22} & -9.48 x_{2} & +  2.09 x_{12} & +  0.55 x_{5} & -5.21 x_{6} & +  0.75 x_{17} & +  0.14 x_{23} & +  0.04 x_{27} & +  0.05 x_{21} & -9.89 x_{3} & -0.04 x_{15} & -0.32 x_{32} & -0.60 x_{1} & +  0.40 x_{18}\\
 x_{25}   &  16.5200038319 & -0.28 x_{31} & -0.01 x_{22} & -12.47 x_{2} & -4.99 x_{12} & -8.33 x_{5} & +  4.81 x_{6} & +  0.26 x_{17} & -0.06 x_{23} & +  0.71 x_{27} & +  0.37 x_{21} & +  0.07 x_{3} & + 10.51 x_{15} & +  0.73 x_{32} & + 11.39 x_{1} & -0.79 x_{18}\\
 x_{4}   &  0.250935525659 & +  0.02 x_{31} & +  0.02 x_{22} & +  0.36 x_{2} & -1.11 x_{12} & -1.27 x_{5} & +  1.20 x_{6} & +  0.03 x_{17} & -0.01 x_{23} & +  0.01 x_{27} & +  0.07 x_{21} & +  0.07 x_{3} & +  0.70 x_{15} & +  0.03 x_{32} & -0.03 x_{1} & -0.12 x_{18}\\
 x_{29}   &  29.5808229528 & +  0.64 x_{31} & -1.55 x_{22} & -26.29 x_{2} & +  4.71 x_{12} & + 35.65 x_{5} & -10.27 x_{6} & -0.58 x_{17} & +  1.28 x_{23} & +  0.79 x_{27} & -1.61 x_{21} & -2.80 x_{3} & -27.07 x_{15} & +  0.33 x_{32} & +  7.12 x_{1} & +  4.21 x_{18}\\
 x_{30}   &  15.9479753516 & -0.07 x_{31} & +  0.28 x_{22} & +  5.43 x_{2} & +  8.31 x_{12} & -4.42 x_{5} & +  5.49 x_{6} & -0.48 x_{17} & -0.20 x_{23} & -0.18 x_{27} & +  0.26 x_{21} & -7.30 x_{3} & -6.07 x_{15} & +  0.02 x_{32} & -5.37 x_{1} & -0.22 x_{18}\\
 x_{14}   &  0.994841805264 & +  0.07 x_{31} & -0.08 x_{22} & +  0.77 x_{2} & -0.53 x_{12} & -0.97 x_{5} & +  0.80 x_{6} & +  0.03 x_{17} & +  0.08 x_{23} & -0.07 x_{27} & +  0.01 x_{21} & -1.41 x_{3} & -1.47 x_{15} & +  0.13 x_{32} & +  0.10 x_{1} & +  0.11 x_{18}\\
 x_{28}   &  14.8988229362 & +  0.81 x_{31} & -0.44 x_{22} & + 26.41 x_{2} & -16.41 x_{12} & -31.81 x_{5} & +  4.93 x_{6} & +  0.41 x_{17} & +  0.23 x_{23} & -1.07 x_{27} & +  0.21 x_{21} & -17.69 x_{3} & -10.34 x_{15} & +  1.66 x_{32} & +  9.35 x_{1} & -0.33 x_{18}\\
\hline
z    &  7.02538464017 & -0.10 x_{31} & -0.94 x_{22} & -3.06 x_{2} & -0.29 x_{12} & -10.29 x_{5} & -2.04 x_{6} & +  0.08 x_{17} & +  0.44 x_{23} & -0.09 x_{27} & -0.18 x_{21} & -6.12 x_{3} & -6.54 x_{15} & +  0.84 x_{32} & +  0.77 x_{1} & +  0.71 x_{18}\\
\end{array}\]


 $ x_{1} $ enters and $ x_{16} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{1}   &  1.82300899516 & -0.02 x_{31} & +  0.01 x_{22} & +  0.59 x_{2} & +  1.13 x_{12} & -0.03 x_{5} & -0.80 x_{6} & -0.01 x_{17} & -0.08 x_{23} & +  0.00 x_{27} & -0.01 x_{21} & +  0.68 x_{3} & +  1.63 x_{15} & -0.09 x_{32} & -0.06 x_{16} & -0.11 x_{18}\\
 x_{13}   &  3.53103806595 & +  0.03 x_{31} & +  0.01 x_{22} & +  1.42 x_{2} & +  0.18 x_{12} & -0.67 x_{5} & +  0.51 x_{6} & +  0.03 x_{17} & -0.10 x_{23} & +  0.01 x_{27} & +  0.00 x_{21} & +  0.10 x_{3} & +  1.43 x_{15} & +  0.01 x_{32} & -0.04 x_{16} & -0.11 x_{18}\\
 x_{10}   &  1.88311987476 & +  0.01 x_{31} & -0.01 x_{22} & +  0.18 x_{2} & +  1.13 x_{12} & +  0.60 x_{5} & -0.72 x_{6} & +  0.02 x_{17} & -0.08 x_{23} & +  0.03 x_{27} & -0.00 x_{21} & +  0.58 x_{3} & +  1.26 x_{15} & -0.07 x_{32} & -0.01 x_{16} & -0.04 x_{18}\\
 x_{19}   &  13.4604575989 & +  0.10 x_{31} & +  1.16 x_{22} & + 16.17 x_{2} & -17.08 x_{12} & -14.46 x_{5} & +  7.12 x_{6} & +  0.31 x_{17} & -0.68 x_{23} & -0.08 x_{27} & -0.08 x_{21} & -3.34 x_{3} & -8.52 x_{15} & +  0.23 x_{32} & +  0.16 x_{16} & -1.16 x_{18}\\
 x_{20}   &  36.841831777 & +  0.49 x_{31} & -1.22 x_{22} & +  5.12 x_{2} & + 27.18 x_{12} & +  0.19 x_{5} & -16.46 x_{6} & +  0.08 x_{17} & -1.06 x_{23} & +  0.56 x_{27} & -0.63 x_{21} & + 12.87 x_{3} & + 32.22 x_{15} & -0.41 x_{32} & -1.16 x_{16} & -0.50 x_{18}\\
 x_{11}   &  1.71348803735 & +  0.08 x_{31} & +  0.03 x_{22} & +  1.14 x_{2} & +  0.93 x_{12} & +  1.08 x_{5} & +  0.20 x_{6} & -0.03 x_{17} & -0.03 x_{23} & -0.03 x_{27} & -0.02 x_{21} & -0.39 x_{3} & -0.51 x_{15} & -0.06 x_{32} & -0.05 x_{16} & -0.01 x_{18}\\
 x_{7}   &  3.8214268354 & +  0.03 x_{31} & -0.03 x_{22} & +  0.09 x_{2} & +  0.26 x_{12} & +  0.67 x_{5} & +  0.19 x_{6} & +  0.02 x_{17} & +  0.03 x_{23} & +  0.02 x_{27} & -0.05 x_{21} & +  0.19 x_{3} & +  0.15 x_{15} & +  0.00 x_{32} & -0.04 x_{16} & +  0.03 x_{18}\\
 x_{8}   &  1.48806309764 & +  0.00 x_{31} & +  0.14 x_{22} & +  0.34 x_{2} & -0.79 x_{12} & -1.50 x_{5} & +  1.03 x_{6} & +  0.06 x_{17} & -0.05 x_{23} & -0.02 x_{27} & +  0.10 x_{21} & -0.76 x_{3} & +  1.27 x_{15} & -0.06 x_{32} & -0.02 x_{16} & -0.18 x_{18}\\
 x_{24}   &  15.4316390963 & -0.76 x_{31} & -0.74 x_{22} & -15.49 x_{2} & + 15.25 x_{12} & -6.98 x_{5} & -12.06 x_{6} & +  0.19 x_{17} & -0.51 x_{23} & +  0.57 x_{27} & -0.52 x_{21} & +  8.48 x_{3} & + 22.60 x_{15} & -0.66 x_{32} & -0.26 x_{16} & -0.44 x_{18}\\
 x_{9}   &  1.3288485214 & -0.04 x_{31} & -0.11 x_{22} & -2.01 x_{2} & +  0.88 x_{12} & +  1.70 x_{5} & -1.40 x_{6} & -0.06 x_{17} & +  0.06 x_{23} & +  0.06 x_{27} & -0.06 x_{21} & +  0.21 x_{3} & -0.59 x_{15} & +  0.00 x_{32} & +  0.00 x_{16} & +  0.22 x_{18}\\
 x_{26}   &  29.6675623892 & +  0.03 x_{31} & -0.03 x_{22} & -9.83 x_{2} & +  1.41 x_{12} & +  0.57 x_{5} & -4.73 x_{6} & +  0.76 x_{17} & +  0.19 x_{23} & +  0.04 x_{27} & +  0.06 x_{21} & -10.31 x_{3} & -1.03 x_{15} & -0.27 x_{32} & +  0.04 x_{16} & +  0.46 x_{18}\\
 x_{25}   &  37.2893289455 & -0.49 x_{31} & +  0.13 x_{22} & -5.80 x_{2} & +  7.89 x_{12} & -8.65 x_{5} & -4.26 x_{6} & +  0.11 x_{17} & -0.99 x_{23} & +  0.76 x_{27} & +  0.25 x_{21} & +  7.87 x_{3} & + 29.14 x_{15} & -0.25 x_{32} & -0.70 x_{16} & -2.10 x_{18}\\
 x_{4}   &  0.202668804613 & +  0.02 x_{31} & +  0.02 x_{22} & +  0.35 x_{2} & -1.14 x_{12} & -1.27 x_{5} & +  1.22 x_{6} & +  0.03 x_{17} & -0.00 x_{23} & +  0.01 x_{27} & +  0.07 x_{21} & +  0.05 x_{3} & +  0.66 x_{15} & +  0.03 x_{32} & +  0.00 x_{16} & -0.11 x_{18}\\
 x_{29}   &  42.5551678847 & +  0.51 x_{31} & -1.46 x_{22} & -22.12 x_{2} & + 12.75 x_{12} & + 35.45 x_{5} & -15.94 x_{6} & -0.67 x_{17} & +  0.70 x_{23} & +  0.82 x_{27} & -1.69 x_{21} & +  2.07 x_{3} & -15.43 x_{15} & -0.28 x_{32} & -0.44 x_{16} & +  3.40 x_{18}\\
 x_{30}   &  6.15536237081 & +  0.03 x_{31} & +  0.22 x_{22} & +  2.29 x_{2} & +  2.24 x_{12} & -4.27 x_{5} & +  9.77 x_{6} & -0.41 x_{17} & +  0.24 x_{23} & -0.20 x_{27} & +  0.31 x_{21} & -10.98 x_{3} & -14.85 x_{15} & +  0.48 x_{32} & +  0.33 x_{16} & +  0.40 x_{18}\\
 x_{14}   &  1.17504971218 & +  0.07 x_{31} & -0.08 x_{22} & +  0.83 x_{2} & -0.42 x_{12} & -0.97 x_{5} & +  0.72 x_{6} & +  0.03 x_{17} & +  0.07 x_{23} & -0.07 x_{27} & +  0.01 x_{21} & -1.35 x_{3} & -1.31 x_{15} & +  0.12 x_{32} & -0.01 x_{16} & +  0.10 x_{18}\\
 x_{28}   &  31.9456691184 & +  0.64 x_{31} & -0.32 x_{22} & + 31.88 x_{2} & -5.85 x_{12} & -32.08 x_{5} & -2.51 x_{6} & +  0.29 x_{17} & -0.54 x_{23} & -1.03 x_{27} & +  0.11 x_{21} & -11.29 x_{3} & +  4.95 x_{15} & +  0.86 x_{32} & -0.57 x_{16} & -1.40 x_{18}\\
\hline
z    &  8.42191170751 & -0.12 x_{31} & -0.93 x_{22} & -2.61 x_{2} & +  0.57 x_{12} & -10.31 x_{5} & -2.65 x_{6} & +  0.06 x_{17} & +  0.38 x_{23} & -0.09 x_{27} & -0.19 x_{21} & -5.60 x_{3} & -5.28 x_{15} & +  0.77 x_{32} & -0.05 x_{16} & +  0.62 x_{18}\\
\end{array}\]


 $ x_{12} $ enters and $ x_{4} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{1}   &  2.0234466918 & -0.00 x_{31} & +  0.04 x_{22} & +  0.93 x_{2} & -0.99 x_{4} & -1.28 x_{5} & +  0.41 x_{6} & +  0.02 x_{17} & -0.09 x_{23} & +  0.01 x_{27} & +  0.06 x_{21} & +  0.73 x_{3} & +  2.29 x_{15} & -0.05 x_{32} & -0.06 x_{16} & -0.23 x_{18}\\
 x_{13}   &  3.56260266147 & +  0.03 x_{31} & +  0.02 x_{22} & +  1.48 x_{2} & -0.16 x_{4} & -0.86 x_{5} & +  0.70 x_{6} & +  0.04 x_{17} & -0.10 x_{23} & +  0.02 x_{27} & +  0.02 x_{21} & +  0.11 x_{3} & +  1.53 x_{15} & +  0.02 x_{32} & -0.04 x_{16} & -0.13 x_{18}\\
 x_{10}   &  2.08362643461 & +  0.03 x_{31} & +  0.01 x_{22} & +  0.53 x_{2} & -0.99 x_{4} & -0.65 x_{5} & +  0.48 x_{6} & +  0.05 x_{17} & -0.08 x_{23} & +  0.04 x_{27} & +  0.06 x_{21} & +  0.63 x_{3} & +  1.92 x_{15} & -0.04 x_{32} & -0.01 x_{16} & -0.16 x_{18}\\
 x_{19}   &  10.4305264183 & -0.17 x_{31} & +  0.81 x_{22} & + 11.00 x_{2} & + 14.95 x_{4} & +  4.52 x_{5} & -11.12 x_{6} & -0.14 x_{17} & -0.60 x_{23} & -0.22 x_{27} & -1.11 x_{21} & -4.10 x_{3} & -18.37 x_{15} & -0.25 x_{32} & +  0.14 x_{16} & +  0.56 x_{18}\\
 x_{20}   &  41.663834158 & +  0.92 x_{31} & -0.67 x_{22} & + 13.35 x_{2} & -23.79 x_{4} & -30.03 x_{5} & + 12.56 x_{6} & +  0.79 x_{17} & -1.17 x_{23} & +  0.77 x_{27} & +  1.00 x_{21} & + 14.09 x_{3} & + 47.91 x_{15} & +  0.36 x_{32} & -1.12 x_{16} & -3.24 x_{18}\\
 x_{11}   &  1.87792197878 & +  0.09 x_{31} & +  0.05 x_{22} & +  1.42 x_{2} & -0.81 x_{4} & +  0.05 x_{5} & +  1.19 x_{6} & -0.00 x_{17} & -0.04 x_{23} & -0.02 x_{27} & +  0.03 x_{21} & -0.35 x_{3} & +  0.02 x_{15} & -0.03 x_{32} & -0.05 x_{16} & -0.10 x_{18}\\
 x_{7}   &  3.86717708234 & +  0.03 x_{31} & -0.03 x_{22} & +  0.16 x_{2} & -0.23 x_{4} & +  0.39 x_{5} & +  0.46 x_{6} & +  0.02 x_{17} & +  0.03 x_{23} & +  0.02 x_{27} & -0.03 x_{21} & +  0.20 x_{3} & +  0.30 x_{15} & +  0.01 x_{32} & -0.04 x_{16} & +  0.00 x_{18}\\
 x_{8}   &  1.3475399411 & -0.01 x_{31} & +  0.13 x_{22} & +  0.10 x_{2} & +  0.69 x_{4} & -0.62 x_{5} & +  0.18 x_{6} & +  0.04 x_{17} & -0.05 x_{23} & -0.03 x_{27} & +  0.05 x_{21} & -0.79 x_{3} & +  0.82 x_{15} & -0.08 x_{32} & -0.02 x_{16} & -0.10 x_{18}\\
 x_{24}   &  18.1377979937 & -0.52 x_{31} & -0.42 x_{22} & -10.87 x_{2} & -13.35 x_{4} & -23.94 x_{5} & +  4.23 x_{6} & +  0.59 x_{17} & -0.58 x_{23} & +  0.69 x_{27} & +  0.40 x_{21} & +  9.16 x_{3} & + 31.41 x_{15} & -0.23 x_{32} & -0.24 x_{16} & -1.98 x_{18}\\
 x_{9}   &  1.48414931794 & -0.02 x_{31} & -0.09 x_{22} & -1.75 x_{2} & -0.77 x_{4} & +  0.73 x_{5} & -0.46 x_{6} & -0.04 x_{17} & +  0.06 x_{23} & +  0.07 x_{27} & -0.01 x_{21} & +  0.25 x_{3} & -0.08 x_{15} & +  0.03 x_{32} & +  0.01 x_{16} & +  0.14 x_{18}\\
 x_{26}   &  29.9178143869 & +  0.05 x_{31} & +  0.00 x_{22} & -9.41 x_{2} & -1.23 x_{4} & -1.00 x_{5} & -3.22 x_{6} & +  0.80 x_{17} & +  0.19 x_{23} & +  0.05 x_{27} & +  0.14 x_{21} & -10.24 x_{3} & -0.22 x_{15} & -0.23 x_{32} & +  0.04 x_{16} & +  0.32 x_{18}\\
 x_{25}   &  38.6885106069 & -0.36 x_{31} & +  0.30 x_{22} & -3.42 x_{2} & -6.90 x_{4} & -17.42 x_{5} & +  4.17 x_{6} & +  0.31 x_{17} & -1.02 x_{23} & +  0.82 x_{27} & +  0.72 x_{21} & +  8.22 x_{3} & + 33.69 x_{15} & -0.02 x_{32} & -0.69 x_{16} & -2.90 x_{18}\\
 x_{12}   &  0.177403729899 & +  0.02 x_{31} & +  0.02 x_{22} & +  0.30 x_{2} & -0.88 x_{4} & -1.11 x_{5} & +  1.07 x_{6} & +  0.03 x_{17} & -0.00 x_{23} & +  0.01 x_{27} & +  0.06 x_{21} & +  0.04 x_{3} & +  0.58 x_{15} & +  0.03 x_{32} & +  0.00 x_{16} & -0.10 x_{18}\\
 x_{29}   &  44.8166485071 & +  0.71 x_{31} & -1.20 x_{22} & -18.26 x_{2} & -11.16 x_{4} & + 21.28 x_{5} & -2.32 x_{6} & -0.34 x_{17} & +  0.64 x_{23} & +  0.92 x_{27} & -0.92 x_{21} & +  2.64 x_{3} & -8.08 x_{15} & +  0.08 x_{32} & -0.42 x_{16} & +  2.11 x_{18}\\
 x_{30}   &  6.55357764756 & +  0.07 x_{31} & +  0.26 x_{22} & +  2.97 x_{2} & -1.96 x_{4} & -6.77 x_{5} & + 12.17 x_{6} & -0.35 x_{17} & +  0.23 x_{23} & -0.18 x_{27} & +  0.45 x_{21} & -10.87 x_{3} & -13.55 x_{15} & +  0.55 x_{32} & +  0.33 x_{16} & +  0.17 x_{18}\\
 x_{14}   &  1.10141916015 & +  0.06 x_{31} & -0.09 x_{22} & +  0.70 x_{2} & +  0.36 x_{4} & -0.51 x_{5} & +  0.27 x_{6} & +  0.02 x_{17} & +  0.07 x_{23} & -0.07 x_{27} & -0.02 x_{21} & -1.36 x_{3} & -1.55 x_{15} & +  0.11 x_{32} & -0.01 x_{16} & +  0.14 x_{18}\\
 x_{28}   &  30.9083744126 & +  0.55 x_{31} & -0.44 x_{22} & + 30.11 x_{2} & +  5.12 x_{4} & -25.58 x_{5} & -8.75 x_{6} & +  0.13 x_{17} & -0.51 x_{23} & -1.07 x_{27} & -0.24 x_{21} & -11.55 x_{3} & +  1.57 x_{15} & +  0.70 x_{32} & -0.58 x_{16} & -0.81 x_{18}\\
\hline
z    &  8.52389914886 & -0.11 x_{31} & -0.92 x_{22} & -2.44 x_{2} & -0.50 x_{4} & -10.95 x_{5} & -2.04 x_{6} & +  0.08 x_{17} & +  0.37 x_{23} & -0.09 x_{27} & -0.15 x_{21} & -5.57 x_{3} & -4.95 x_{15} & +  0.79 x_{32} & -0.05 x_{16} & +  0.57 x_{18}\\
\end{array}\]


 $ x_{17} $ enters and $ x_{30} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{1}   &  2.3261685672 & +  0.00 x_{31} & +  0.05 x_{22} & +  1.06 x_{2} & -1.08 x_{4} & -1.60 x_{5} & +  0.97 x_{6} & -0.05 x_{30} & -0.08 x_{23} & +  0.00 x_{27} & +  0.08 x_{21} & +  0.23 x_{3} & +  1.66 x_{15} & -0.03 x_{32} & -0.04 x_{16} & -0.22 x_{18}\\
 x_{13}   &  4.2192160947 & +  0.04 x_{31} & +  0.04 x_{22} & +  1.78 x_{2} & -0.35 x_{4} & -1.54 x_{5} & +  1.91 x_{6} & -0.10 x_{30} & -0.07 x_{23} & -0.00 x_{27} & +  0.06 x_{21} & -0.98 x_{3} & +  0.17 x_{15} & +  0.07 x_{32} & -0.01 x_{16} & -0.11 x_{18}\\
 x_{10}   &  2.96348763976 & +  0.04 x_{31} & +  0.05 x_{22} & +  0.92 x_{2} & -1.25 x_{4} & -1.56 x_{5} & +  2.12 x_{6} & -0.13 x_{30} & -0.05 x_{23} & +  0.01 x_{27} & +  0.12 x_{21} & -0.83 x_{3} & +  0.10 x_{15} & +  0.03 x_{32} & +  0.03 x_{16} & -0.14 x_{18}\\
 x_{19}   &  7.89012059757 & -0.20 x_{31} & +  0.71 x_{22} & +  9.85 x_{2} & + 15.71 x_{4} & +  7.15 x_{5} & -15.83 x_{6} & +  0.39 x_{30} & -0.69 x_{23} & -0.14 x_{27} & -1.28 x_{21} & +  0.11 x_{3} & -13.12 x_{15} & -0.46 x_{32} & +  0.01 x_{16} & +  0.49 x_{18}\\
 x_{20}   &  56.5187188563 & +  1.07 x_{31} & -0.07 x_{22} & + 20.08 x_{2} & -28.25 x_{4} & -45.36 x_{5} & + 40.14 x_{6} & -2.27 x_{30} & -0.65 x_{23} & +  0.35 x_{27} & +  2.01 x_{21} & -10.56 x_{3} & + 17.19 x_{15} & +  1.60 x_{32} & -0.37 x_{16} & -2.85 x_{18}\\
 x_{11}   &  1.86217654573 & +  0.09 x_{31} & +  0.05 x_{22} & +  1.42 x_{2} & -0.81 x_{4} & +  0.07 x_{5} & +  1.16 x_{6} & +  0.00 x_{30} & -0.04 x_{23} & -0.02 x_{27} & +  0.03 x_{21} & -0.33 x_{3} & +  0.05 x_{15} & -0.03 x_{32} & -0.05 x_{16} & -0.11 x_{18}\\
 x_{7}   &  4.32241615643 & +  0.03 x_{31} & -0.01 x_{22} & +  0.37 x_{2} & -0.36 x_{4} & -0.08 x_{5} & +  1.31 x_{6} & -0.07 x_{30} & +  0.04 x_{23} & +  0.01 x_{27} & -0.00 x_{21} & -0.56 x_{3} & -0.64 x_{15} & +  0.05 x_{32} & -0.01 x_{16} & +  0.01 x_{18}\\
 x_{8}   &  2.08716531933 & -0.00 x_{31} & +  0.16 x_{22} & +  0.44 x_{2} & +  0.47 x_{4} & -1.38 x_{5} & +  1.55 x_{6} & -0.11 x_{30} & -0.02 x_{23} & -0.05 x_{27} & +  0.10 x_{21} & -2.02 x_{3} & -0.71 x_{15} & -0.02 x_{32} & +  0.02 x_{16} & -0.08 x_{18}\\
 x_{24}   &  29.2275001883 & -0.41 x_{31} & +  0.02 x_{22} & -5.85 x_{2} & -16.68 x_{4} & -35.39 x_{5} & + 24.82 x_{6} & -1.69 x_{30} & -0.19 x_{23} & +  0.38 x_{27} & +  1.15 x_{21} & -9.24 x_{3} & +  8.48 x_{15} & +  0.69 x_{32} & +  0.32 x_{16} & -1.68 x_{18}\\
 x_{9}   &  0.809296204675 & -0.03 x_{31} & -0.12 x_{22} & -2.05 x_{2} & -0.56 x_{4} & +  1.42 x_{5} & -1.72 x_{6} & +  0.10 x_{30} & +  0.04 x_{23} & +  0.08 x_{27} & -0.06 x_{21} & +  1.37 x_{3} & +  1.31 x_{15} & -0.03 x_{32} & -0.03 x_{16} & +  0.12 x_{18}\\
 x_{26}   &  44.8323121867 & +  0.20 x_{31} & +  0.60 x_{22} & -2.65 x_{2} & -5.71 x_{4} & -16.40 x_{5} & + 24.46 x_{6} & -2.28 x_{30} & +  0.71 x_{23} & -0.37 x_{27} & +  1.16 x_{21} & -34.99 x_{3} & -31.06 x_{15} & +  1.01 x_{32} & +  0.79 x_{16} & +  0.71 x_{18}\\
 x_{25}   &  44.5807657093 & -0.30 x_{31} & +  0.53 x_{22} & -0.75 x_{2} & -8.67 x_{4} & -23.50 x_{5} & + 15.10 x_{6} & -0.90 x_{30} & -0.81 x_{23} & +  0.65 x_{27} & +  1.12 x_{21} & -1.56 x_{3} & + 21.51 x_{15} & +  0.47 x_{32} & -0.39 x_{16} & -2.74 x_{18}\\
 x_{12}   &  0.667240500072 & +  0.02 x_{31} & +  0.04 x_{22} & +  0.52 x_{2} & -1.02 x_{4} & -1.62 x_{5} & +  1.98 x_{6} & -0.07 x_{30} & +  0.01 x_{23} & -0.01 x_{27} & +  0.09 x_{21} & -0.77 x_{3} & -0.44 x_{15} & +  0.07 x_{32} & +  0.03 x_{16} & -0.09 x_{18}\\
 x_{29}   &  38.4403850405 & +  0.65 x_{31} & -1.45 x_{22} & -21.15 x_{2} & -9.25 x_{4} & + 27.86 x_{5} & -14.16 x_{6} & +  0.97 x_{30} & +  0.42 x_{23} & +  1.10 x_{27} & -1.36 x_{21} & + 13.23 x_{3} & +  5.11 x_{15} & -0.45 x_{32} & -0.74 x_{16} & +  1.95 x_{18}\\
 x_{17}   &  18.7369620735 & +  0.19 x_{31} & +  0.75 x_{22} & +  8.49 x_{2} & -5.62 x_{4} & -19.34 x_{5} & + 34.78 x_{6} & -2.86 x_{30} & +  0.65 x_{23} & -0.53 x_{27} & +  1.28 x_{21} & -31.09 x_{3} & -38.75 x_{15} & +  1.56 x_{32} & +  0.95 x_{16} & +  0.49 x_{18}\\
 x_{14}   &  1.42979351502 & +  0.07 x_{31} & -0.08 x_{22} & +  0.85 x_{2} & +  0.26 x_{4} & -0.85 x_{5} & +  0.88 x_{6} & -0.05 x_{30} & +  0.09 x_{23} & -0.08 x_{27} & +  0.01 x_{21} & -1.91 x_{3} & -2.23 x_{15} & +  0.14 x_{32} & +  0.01 x_{16} & +  0.15 x_{18}\\
 x_{28}   &  33.4096768775 & +  0.57 x_{31} & -0.34 x_{22} & + 31.24 x_{2} & +  4.37 x_{4} & -28.16 x_{5} & -4.11 x_{6} & -0.38 x_{30} & -0.43 x_{23} & -1.14 x_{27} & -0.07 x_{21} & -15.70 x_{3} & -3.60 x_{15} & +  0.90 x_{32} & -0.45 x_{16} & -0.75 x_{18}\\
\hline
z    &  10.0231097927 & -0.09 x_{31} & -0.86 x_{22} & -1.76 x_{2} & -0.95 x_{4} & -12.50 x_{5} & +  0.74 x_{6} & -0.23 x_{30} & +  0.43 x_{23} & -0.13 x_{27} & -0.05 x_{21} & -8.06 x_{3} & -8.05 x_{15} & +  0.91 x_{32} & +  0.03 x_{16} & +  0.61 x_{18}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{9} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{1}   &  2.78451119598 & -0.02 x_{31} & -0.02 x_{22} & -0.10 x_{2} & -1.40 x_{4} & -0.79 x_{5} & -0.57 x_{9} & +  0.01 x_{30} & -0.05 x_{23} & +  0.05 x_{27} & +  0.05 x_{21} & +  1.01 x_{3} & +  2.40 x_{15} & -0.04 x_{32} & -0.06 x_{16} & -0.15 x_{18}\\
 x_{13}   &  5.12133076443 & +  0.00 x_{31} & -0.09 x_{22} & -0.51 x_{2} & -0.98 x_{4} & +  0.05 x_{5} & -1.11 x_{9} & +  0.01 x_{30} & -0.03 x_{23} & +  0.09 x_{27} & -0.00 x_{21} & +  0.54 x_{3} & +  1.63 x_{15} & +  0.04 x_{32} & -0.04 x_{16} & +  0.02 x_{18}\\
 x_{10}   &  3.9617482849 & -0.00 x_{31} & -0.10 x_{22} & -1.61 x_{2} & -1.95 x_{4} & +  0.20 x_{5} & -1.23 x_{9} & -0.01 x_{30} & -0.00 x_{23} & +  0.12 x_{27} & +  0.05 x_{21} & +  0.86 x_{3} & +  1.72 x_{15} & -0.00 x_{32} & -0.00 x_{16} & +  0.01 x_{18}\\
 x_{19}   &  0.427810925029 & +  0.10 x_{31} & +  1.81 x_{22} & + 28.77 x_{2} & + 20.91 x_{4} & -5.97 x_{5} & +  9.22 x_{9} & -0.56 x_{30} & -1.04 x_{23} & -0.92 x_{27} & -0.77 x_{21} & -12.49 x_{3} & -25.21 x_{15} & -0.21 x_{32} & +  0.28 x_{16} & -0.60 x_{18}\\
 x_{20}   &  75.4366828338 & +  0.33 x_{31} & -2.87 x_{22} & -27.90 x_{2} & -41.43 x_{4} & -12.10 x_{5} & -23.38 x_{9} & +  0.14 x_{30} & +  0.23 x_{23} & +  2.33 x_{27} & +  0.71 x_{21} & + 21.39 x_{3} & + 47.84 x_{15} & +  0.96 x_{32} & -1.05 x_{16} & -0.07 x_{18}\\
 x_{11}   &  2.4111839702 & +  0.07 x_{31} & -0.03 x_{22} & +  0.02 x_{2} & -1.19 x_{4} & +  1.04 x_{5} & -0.68 x_{9} & +  0.07 x_{30} & -0.01 x_{23} & +  0.04 x_{27} & -0.01 x_{21} & +  0.60 x_{3} & +  0.94 x_{15} & -0.05 x_{32} & -0.07 x_{16} & -0.02 x_{18}\\
 x_{7}   &  4.93837781836 & +  0.01 x_{31} & -0.10 x_{22} & -1.19 x_{2} & -0.79 x_{4} & +  1.00 x_{5} & -0.76 x_{9} & +  0.01 x_{30} & +  0.07 x_{23} & +  0.07 x_{27} & -0.04 x_{21} & +  0.48 x_{3} & +  0.35 x_{15} & +  0.03 x_{32} & -0.04 x_{16} & +  0.10 x_{18}\\
 x_{8}   &  2.81888084073 & -0.03 x_{31} & +  0.05 x_{22} & -1.42 x_{2} & -0.04 x_{4} & -0.09 x_{5} & -0.90 x_{9} & -0.02 x_{30} & +  0.01 x_{23} & +  0.03 x_{27} & +  0.05 x_{21} & -0.79 x_{3} & +  0.47 x_{15} & -0.04 x_{32} & -0.01 x_{16} & +  0.02 x_{18}\\
 x_{24}   &  40.9238599364 & -0.86 x_{31} & -1.71 x_{22} & -35.51 x_{2} & -24.83 x_{4} & -14.83 x_{5} & -14.45 x_{9} & -0.20 x_{30} & +  0.35 x_{23} & +  1.60 x_{27} & +  0.35 x_{21} & + 10.52 x_{3} & + 27.43 x_{15} & +  0.30 x_{32} & -0.10 x_{16} & +  0.03 x_{18}\\
 x_{6}   &  0.47129472416 & -0.02 x_{31} & -0.07 x_{22} & -1.20 x_{2} & -0.33 x_{4} & +  0.83 x_{5} & -0.58 x_{9} & +  0.06 x_{30} & +  0.02 x_{23} & +  0.05 x_{27} & -0.03 x_{21} & +  0.80 x_{3} & +  0.76 x_{15} & -0.02 x_{32} & -0.02 x_{16} & +  0.07 x_{18}\\
 x_{26}   &  56.3624209396 & -0.25 x_{31} & -1.11 x_{22} & -31.89 x_{2} & -13.74 x_{4} & +  3.87 x_{5} & -14.25 x_{9} & -0.81 x_{30} & +  1.24 x_{23} & +  0.84 x_{27} & +  0.37 x_{21} & -15.52 x_{3} & -12.38 x_{15} & +  0.63 x_{32} & +  0.38 x_{16} & +  2.41 x_{18}\\
 x_{25}   &  51.6990877309 & -0.58 x_{31} & -0.52 x_{22} & -18.80 x_{2} & -13.63 x_{4} & -10.99 x_{5} & -8.80 x_{9} & +  0.01 x_{30} & -0.48 x_{23} & +  1.40 x_{27} & +  0.63 x_{21} & + 10.47 x_{3} & + 33.04 x_{15} & +  0.23 x_{32} & -0.64 x_{16} & -1.70 x_{18}\\
 x_{12}   &  1.59908287068 & -0.02 x_{31} & -0.10 x_{22} & -1.84 x_{2} & -1.67 x_{4} & +  0.02 x_{5} & -1.15 x_{9} & +  0.04 x_{30} & +  0.06 x_{23} & +  0.09 x_{27} & +  0.03 x_{21} & +  0.81 x_{3} & +  1.07 x_{15} & +  0.04 x_{32} & -0.01 x_{16} & +  0.05 x_{18}\\
 x_{29}   &  31.7660212877 & +  0.91 x_{31} & -0.47 x_{22} & -4.23 x_{2} & -4.60 x_{4} & + 16.13 x_{5} & +  8.25 x_{9} & +  0.12 x_{30} & +  0.11 x_{23} & +  0.41 x_{27} & -0.90 x_{21} & +  1.95 x_{3} & -5.70 x_{15} & -0.22 x_{32} & -0.50 x_{16} & +  0.97 x_{18}\\
 x_{17}   &  35.1306601523 & -0.45 x_{31} & -1.67 x_{22} & -33.08 x_{2} & -17.04 x_{4} & +  9.48 x_{5} & -20.26 x_{9} & -0.77 x_{30} & +  1.42 x_{23} & +  1.18 x_{27} & +  0.15 x_{21} & -3.40 x_{3} & -12.19 x_{15} & +  1.01 x_{32} & +  0.36 x_{16} & +  2.90 x_{18}\\
 x_{14}   &  1.84639523393 & +  0.05 x_{31} & -0.14 x_{22} & -0.21 x_{2} & -0.03 x_{4} & -0.12 x_{5} & -0.51 x_{9} & +  0.00 x_{30} & +  0.11 x_{23} & -0.04 x_{27} & -0.02 x_{21} & -1.21 x_{3} & -1.56 x_{15} & +  0.12 x_{32} & -0.01 x_{16} & +  0.21 x_{18}\\
 x_{28}   &  31.4728328886 & +  0.65 x_{31} & -0.06 x_{22} & + 36.15 x_{2} & +  5.72 x_{4} & -31.56 x_{5} & +  2.39 x_{9} & -0.63 x_{30} & -0.52 x_{23} & -1.34 x_{27} & +  0.06 x_{21} & -18.97 x_{3} & -6.74 x_{15} & +  0.97 x_{32} & -0.38 x_{16} & -1.03 x_{18}\\
\hline
z    &  10.3733825896 & -0.11 x_{31} & -0.91 x_{22} & -2.65 x_{2} & -1.20 x_{4} & -11.88 x_{5} & -0.43 x_{9} & -0.18 x_{30} & +  0.44 x_{23} & -0.09 x_{27} & -0.07 x_{21} & -7.47 x_{3} & -7.48 x_{15} & +  0.90 x_{32} & +  0.02 x_{16} & +  0.66 x_{18}\\
\end{array}\]


 $ x_{16} $ enters and $ x_{6} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{1}   &  1.09789133852 & +  0.05 x_{31} & +  0.23 x_{22} & +  4.18 x_{2} & -0.22 x_{4} & -3.76 x_{5} & +  1.52 x_{9} & -0.20 x_{30} & -0.13 x_{23} & -0.12 x_{27} & +  0.16 x_{21} & -1.84 x_{3} & -0.33 x_{15} & +  0.01 x_{32} & +  3.58 x_{6} & -0.40 x_{18}\\
 x_{13}   &  3.91039502494 & +  0.05 x_{31} & +  0.09 x_{22} & +  2.56 x_{2} & -0.14 x_{4} & -2.08 x_{5} & +  0.38 x_{9} & -0.14 x_{30} & -0.09 x_{23} & -0.04 x_{27} & +  0.08 x_{21} & -1.50 x_{3} & -0.33 x_{15} & +  0.08 x_{32} & +  2.57 x_{6} & -0.16 x_{18}\\
 x_{10}   &  3.90047344697 & -0.00 x_{31} & -0.09 x_{22} & -1.45 x_{2} & -1.91 x_{4} & +  0.09 x_{5} & -1.16 x_{9} & -0.02 x_{30} & -0.01 x_{23} & +  0.11 x_{27} & +  0.06 x_{21} & +  0.76 x_{3} & +  1.62 x_{15} & +  0.00 x_{32} & +  0.13 x_{6} & +  0.00 x_{18}\\
 x_{19}   &  8.09702713719 & -0.20 x_{31} & +  0.68 x_{22} & +  9.32 x_{2} & + 15.57 x_{4} & +  7.51 x_{5} & -0.26 x_{9} & +  0.41 x_{30} & -0.68 x_{23} & -0.12 x_{27} & -1.29 x_{21} & +  0.46 x_{3} & -12.78 x_{15} & -0.47 x_{32} & -16.27 x_{6} & +  0.52 x_{18}\\
 x_{20}   &  46.2517026571 & +  1.47 x_{31} & +  1.44 x_{22} & + 46.11 x_{2} & -21.09 x_{4} & -63.41 x_{5} & + 12.69 x_{9} & -3.57 x_{30} & -1.13 x_{23} & -0.72 x_{27} & +  2.72 x_{21} & -27.90 x_{3} & +  0.56 x_{15} & +  1.94 x_{32} & + 61.93 x_{6} & -4.36 x_{18}\\
 x_{11}   &  0.458926061744 & +  0.15 x_{31} & +  0.26 x_{22} & +  4.97 x_{2} & +  0.17 x_{4} & -2.40 x_{5} & +  1.73 x_{9} & -0.18 x_{30} & -0.10 x_{23} & -0.16 x_{27} & +  0.13 x_{21} & -2.70 x_{3} & -2.22 x_{15} & +  0.01 x_{32} & +  4.14 x_{6} & -0.31 x_{18}\\
 x_{7}   &  3.95898435002 & +  0.05 x_{31} & +  0.05 x_{22} & +  1.29 x_{2} & -0.11 x_{4} & -0.72 x_{5} & +  0.45 x_{9} & -0.12 x_{30} & +  0.02 x_{23} & -0.03 x_{27} & +  0.02 x_{21} & -1.17 x_{3} & -1.23 x_{15} & +  0.06 x_{32} & +  2.08 x_{6} & -0.04 x_{18}\\
 x_{8}   &  2.57224022195 & -0.02 x_{31} & +  0.08 x_{22} & -0.79 x_{2} & +  0.13 x_{4} & -0.53 x_{5} & -0.60 x_{9} & -0.05 x_{30} & -0.00 x_{23} & -0.00 x_{27} & +  0.07 x_{21} & -1.20 x_{3} & +  0.07 x_{15} & -0.03 x_{32} & +  0.52 x_{6} & -0.01 x_{18}\\
 x_{24}   &  38.1327376406 & -0.76 x_{31} & -1.30 x_{22} & -28.43 x_{2} & -22.88 x_{4} & -19.73 x_{5} & -11.00 x_{9} & -0.56 x_{30} & +  0.22 x_{23} & +  1.30 x_{27} & +  0.54 x_{21} & +  5.80 x_{3} & + 22.90 x_{15} & +  0.39 x_{32} & +  5.92 x_{6} & -0.38 x_{18}\\
 x_{16}   &  27.7704344622 & -1.09 x_{31} & -4.10 x_{22} & -70.42 x_{2} & -19.35 x_{4} & + 48.82 x_{5} & -34.31 x_{9} & +  3.53 x_{30} & +  1.29 x_{23} & +  2.90 x_{27} & -1.91 x_{21} & + 46.91 x_{3} & + 45.00 x_{15} & -0.93 x_{32} & -58.92 x_{6} & +  4.07 x_{18}\\
 x_{26}   &  66.8754716143 & -0.66 x_{31} & -2.66 x_{22} & -58.55 x_{2} & -21.07 x_{4} & + 22.35 x_{5} & -27.24 x_{9} & +  0.53 x_{30} & +  1.73 x_{23} & +  1.93 x_{27} & -0.36 x_{21} & +  2.24 x_{3} & +  4.65 x_{15} & +  0.27 x_{32} & -22.31 x_{6} & +  3.95 x_{18}\\
 x_{25}   &  33.8249110126 & +  0.12 x_{31} & +  2.12 x_{22} & + 26.53 x_{2} & -1.18 x_{4} & -42.41 x_{5} & + 13.29 x_{9} & -2.27 x_{30} & -1.31 x_{23} & -0.47 x_{27} & +  1.86 x_{21} & -19.73 x_{3} & +  4.08 x_{15} & +  0.83 x_{32} & + 37.93 x_{6} & -4.32 x_{18}\\
 x_{12}   &  1.39502106308 & -0.01 x_{31} & -0.07 x_{22} & -1.32 x_{2} & -1.53 x_{4} & -0.34 x_{5} & -0.90 x_{9} & +  0.02 x_{30} & +  0.05 x_{23} & +  0.07 x_{27} & +  0.04 x_{21} & +  0.46 x_{3} & +  0.74 x_{15} & +  0.04 x_{32} & +  0.43 x_{6} & +  0.02 x_{18}\\
 x_{29}   &  17.8947663123 & +  1.46 x_{31} & +  1.58 x_{22} & + 30.95 x_{2} & +  5.07 x_{4} & -8.26 x_{5} & + 25.39 x_{9} & -1.64 x_{30} & -0.54 x_{23} & -1.04 x_{27} & +  0.06 x_{21} & -21.48 x_{3} & -28.18 x_{15} & +  0.24 x_{32} & + 29.43 x_{6} & -1.07 x_{18}\\
 x_{17}   &  45.070154598 & -0.84 x_{31} & -3.14 x_{22} & -58.29 x_{2} & -23.97 x_{4} & + 26.95 x_{5} & -32.54 x_{9} & +  0.49 x_{30} & +  1.88 x_{23} & +  2.22 x_{27} & -0.54 x_{21} & + 13.39 x_{3} & +  3.92 x_{15} & +  0.68 x_{32} & -21.09 x_{6} & +  4.35 x_{18}\\
 x_{14}   &  1.70709085815 & +  0.05 x_{31} & -0.12 x_{22} & +  0.15 x_{2} & +  0.07 x_{4} & -0.36 x_{5} & -0.34 x_{9} & -0.01 x_{30} & +  0.10 x_{23} & -0.05 x_{27} & -0.01 x_{21} & -1.44 x_{3} & -1.78 x_{15} & +  0.13 x_{32} & +  0.30 x_{6} & +  0.19 x_{18}\\
 x_{28}   &  20.8152108205 & +  1.07 x_{31} & +  1.52 x_{22} & + 63.18 x_{2} & + 13.14 x_{4} & -50.30 x_{5} & + 15.56 x_{9} & -1.98 x_{30} & -1.01 x_{23} & -2.46 x_{27} & +  0.80 x_{21} & -36.97 x_{3} & -24.01 x_{15} & +  1.33 x_{32} & + 22.61 x_{6} & -2.60 x_{18}\\
\hline
z    &  10.8518358833 & -0.12 x_{31} & -0.98 x_{22} & -3.86 x_{2} & -1.53 x_{4} & -11.04 x_{5} & -1.02 x_{9} & -0.12 x_{30} & +  0.47 x_{23} & -0.04 x_{27} & -0.11 x_{21} & -6.66 x_{3} & -6.71 x_{15} & +  0.88 x_{32} & -1.02 x_{6} & +  0.73 x_{18}\\
\end{array}\]


 $ x_{18} $ enters and $ x_{11} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{1}   &  0.506597568853 & -0.14 x_{31} & -0.10 x_{22} & -2.23 x_{2} & -0.44 x_{4} & -0.67 x_{5} & -0.72 x_{9} & +  0.02 x_{30} & -0.00 x_{23} & +  0.09 x_{27} & -0.00 x_{21} & +  1.63 x_{3} & +  2.53 x_{15} & -0.00 x_{32} & -1.76 x_{6} & +  1.29 x_{11}\\
 x_{13}   &  3.67604380762 & -0.03 x_{31} & -0.04 x_{22} & +  0.02 x_{2} & -0.22 x_{4} & -0.86 x_{5} & -0.50 x_{9} & -0.05 x_{30} & -0.04 x_{23} & +  0.05 x_{27} & +  0.02 x_{21} & -0.12 x_{3} & +  0.81 x_{15} & +  0.08 x_{32} & +  0.45 x_{6} & +  0.51 x_{11}\\
 x_{10}   &  3.90377003934 & +  0.00 x_{31} & -0.09 x_{22} & -1.42 x_{2} & -1.90 x_{4} & +  0.07 x_{5} & -1.15 x_{9} & -0.02 x_{30} & -0.01 x_{23} & +  0.11 x_{27} & +  0.06 x_{21} & +  0.74 x_{3} & +  1.60 x_{15} & +  0.00 x_{32} & +  0.16 x_{6} & -0.01 x_{11}\\
 x_{19}   &  8.86709143226 & +  0.04 x_{31} & +  1.11 x_{22} & + 17.67 x_{2} & + 15.85 x_{4} & +  3.49 x_{5} & +  2.65 x_{9} & +  0.12 x_{30} & -0.85 x_{23} & -0.40 x_{27} & -1.08 x_{21} & -4.06 x_{3} & -16.51 x_{15} & -0.45 x_{32} & -9.32 x_{6} & -1.68 x_{11}\\
 x_{20}   &  39.8253303189 & -0.59 x_{31} & -2.16 x_{22} & -23.53 x_{2} & -23.49 x_{4} & -29.85 x_{5} & -11.59 x_{9} & -1.11 x_{30} & +  0.30 x_{23} & +  1.58 x_{27} & +  0.92 x_{21} & +  9.84 x_{3} & + 31.63 x_{15} & +  1.76 x_{32} & +  3.92 x_{6} & + 14.00 x_{11}\\
 x_{18}   &  1.47490163838 & +  0.47 x_{31} & +  0.83 x_{22} & + 15.98 x_{2} & +  0.55 x_{4} & -7.70 x_{5} & +  5.57 x_{9} & -0.57 x_{30} & -0.33 x_{23} & -0.53 x_{27} & +  0.41 x_{21} & -8.66 x_{3} & -7.13 x_{15} & +  0.04 x_{32} & + 13.31 x_{6} & -3.21 x_{11}\\
 x_{7}   &  3.90042280815 & +  0.03 x_{31} & +  0.01 x_{22} & +  0.66 x_{2} & -0.13 x_{4} & -0.42 x_{5} & +  0.23 x_{9} & -0.09 x_{30} & +  0.04 x_{23} & -0.01 x_{27} & +  0.01 x_{21} & -0.83 x_{3} & -0.95 x_{15} & +  0.06 x_{32} & +  1.55 x_{6} & +  0.13 x_{11}\\
 x_{8}   &  2.55375829467 & -0.03 x_{31} & +  0.07 x_{22} & -0.99 x_{2} & +  0.13 x_{4} & -0.43 x_{5} & -0.67 x_{9} & -0.04 x_{30} & +  0.00 x_{23} & +  0.01 x_{27} & +  0.06 x_{21} & -1.09 x_{3} & +  0.16 x_{15} & -0.03 x_{32} & +  0.36 x_{6} & +  0.04 x_{11}\\
 x_{24}   &  37.575104234 & -0.93 x_{31} & -1.61 x_{22} & -34.47 x_{2} & -23.09 x_{4} & -16.82 x_{5} & -13.11 x_{9} & -0.35 x_{30} & +  0.35 x_{23} & +  1.50 x_{27} & +  0.38 x_{21} & +  9.08 x_{3} & + 25.60 x_{15} & +  0.38 x_{32} & +  0.89 x_{6} & +  1.22 x_{11}\\
 x_{16}   &  33.7802895061 & +  0.84 x_{31} & -0.73 x_{22} & -5.29 x_{2} & -17.11 x_{4} & + 17.43 x_{5} & -11.61 x_{9} & +  1.23 x_{30} & -0.04 x_{23} & +  0.75 x_{27} & -0.23 x_{21} & + 11.61 x_{3} & + 15.94 x_{15} & -0.77 x_{32} & -4.68 x_{6} & -13.10 x_{11}\\
 x_{26}   &  72.6986992777 & +  1.21 x_{31} & +  0.61 x_{22} & +  4.56 x_{2} & -18.89 x_{4} & -8.06 x_{5} & -5.24 x_{9} & -1.71 x_{30} & +  0.44 x_{23} & -0.15 x_{27} & +  1.28 x_{21} & -31.96 x_{3} & -23.50 x_{15} & +  0.43 x_{32} & + 30.25 x_{6} & -12.69 x_{11}\\
 x_{25}   &  27.451996594 & -1.93 x_{31} & -1.46 x_{22} & -42.54 x_{2} & -3.55 x_{4} & -9.13 x_{5} & -10.79 x_{9} & +  0.18 x_{30} & +  0.10 x_{23} & +  1.81 x_{27} & +  0.07 x_{21} & + 17.71 x_{3} & + 34.89 x_{15} & +  0.65 x_{32} & -19.60 x_{6} & + 13.89 x_{11}\\
 x_{12}   &  1.4229901932 & +  0.00 x_{31} & -0.05 x_{22} & -1.02 x_{2} & -1.52 x_{4} & -0.48 x_{5} & -0.79 x_{9} & +  0.01 x_{30} & +  0.04 x_{23} & +  0.06 x_{27} & +  0.05 x_{21} & +  0.30 x_{3} & +  0.61 x_{15} & +  0.05 x_{32} & +  0.69 x_{6} & -0.06 x_{11}\\
 x_{29}   &  16.3190322391 & +  0.95 x_{31} & +  0.70 x_{22} & + 13.87 x_{2} & +  4.48 x_{4} & -0.03 x_{5} & + 19.43 x_{9} & -1.04 x_{30} & -0.19 x_{23} & -0.48 x_{27} & -0.39 x_{21} & -12.22 x_{3} & -20.56 x_{15} & +  0.20 x_{32} & + 15.21 x_{6} & +  3.43 x_{11}\\
 x_{17}   &  51.4931381761 & +  1.22 x_{31} & +  0.46 x_{22} & + 11.32 x_{2} & -21.57 x_{4} & -6.59 x_{5} & -8.27 x_{9} & -1.97 x_{30} & +  0.45 x_{23} & -0.07 x_{27} & +  1.27 x_{21} & -24.34 x_{3} & -27.14 x_{15} & +  0.85 x_{32} & + 36.88 x_{6} & -14.00 x_{11}\\
 x_{14}   &  1.98201303658 & +  0.14 x_{31} & +  0.04 x_{22} & +  3.13 x_{2} & +  0.17 x_{4} & -1.80 x_{5} & +  0.70 x_{9} & -0.12 x_{30} & +  0.04 x_{23} & -0.15 x_{27} & +  0.06 x_{21} & -3.06 x_{3} & -3.11 x_{15} & +  0.14 x_{32} & +  2.78 x_{6} & -0.60 x_{11}\\
 x_{28}   &  16.9851870339 & -0.16 x_{31} & -0.63 x_{22} & + 21.67 x_{2} & + 11.72 x_{4} & -30.30 x_{5} & +  1.09 x_{9} & -0.51 x_{30} & -0.16 x_{23} & -1.09 x_{27} & -0.28 x_{21} & -14.48 x_{3} & -5.49 x_{15} & +  1.22 x_{32} & -11.96 x_{6} & +  8.35 x_{11}\\
\hline
z    &  11.9246256386 & +  0.22 x_{31} & -0.38 x_{22} & +  7.77 x_{2} & -1.13 x_{4} & -16.64 x_{5} & +  3.03 x_{9} & -0.54 x_{30} & +  0.23 x_{23} & -0.42 x_{27} & +  0.19 x_{21} & -12.96 x_{3} & -11.90 x_{15} & +  0.91 x_{32} & +  8.67 x_{6} & -2.34 x_{11}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{1} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{2}   &  0.227246253822 & -0.06 x_{31} & -0.05 x_{22} & -0.45 x_{1} & -0.20 x_{4} & -0.30 x_{5} & -0.32 x_{9} & +  0.01 x_{30} & -0.00 x_{23} & +  0.04 x_{27} & -0.00 x_{21} & +  0.73 x_{3} & +  1.13 x_{15} & -0.00 x_{32} & -0.79 x_{6} & +  0.58 x_{11}\\
 x_{13}   &  3.68043711065 & -0.03 x_{31} & -0.05 x_{22} & -0.01 x_{1} & -0.23 x_{4} & -0.87 x_{5} & -0.51 x_{9} & -0.05 x_{30} & -0.04 x_{23} & +  0.05 x_{27} & +  0.02 x_{21} & -0.11 x_{3} & +  0.83 x_{15} & +  0.08 x_{32} & +  0.44 x_{6} & +  0.52 x_{11}\\
 x_{10}   &  3.58195181874 & +  0.09 x_{31} & -0.02 x_{22} & +  0.64 x_{1} & -1.62 x_{4} & +  0.49 x_{5} & -0.69 x_{9} & -0.03 x_{30} & -0.01 x_{23} & +  0.05 x_{27} & +  0.06 x_{21} & -0.30 x_{3} & -0.01 x_{15} & +  0.00 x_{32} & +  1.28 x_{6} & -0.83 x_{11}\\
 x_{19}   &  12.881811138 & -1.06 x_{31} & +  0.30 x_{22} & -7.92 x_{1} & + 12.33 x_{4} & -1.81 x_{5} & -3.02 x_{9} & +  0.31 x_{30} & -0.87 x_{23} & +  0.30 x_{27} & -1.11 x_{21} & +  8.86 x_{3} & +  3.54 x_{15} & -0.47 x_{32} & -23.26 x_{6} & +  8.53 x_{11}\\
 x_{20}   &  34.4772977651 & +  0.88 x_{31} & -1.08 x_{22} & + 10.56 x_{1} & -18.80 x_{4} & -22.79 x_{5} & -4.03 x_{9} & -1.36 x_{30} & +  0.31 x_{23} & +  0.65 x_{27} & +  0.95 x_{21} & -7.37 x_{3} & +  4.92 x_{15} & +  1.79 x_{32} & + 22.48 x_{6} & +  0.40 x_{11}\\
 x_{18}   &  5.10739327867 & -0.52 x_{31} & +  0.09 x_{22} & -7.17 x_{1} & -2.64 x_{4} & -12.50 x_{5} & +  0.44 x_{9} & -0.39 x_{30} & -0.34 x_{23} & +  0.10 x_{27} & +  0.39 x_{21} & +  3.03 x_{3} & + 11.01 x_{15} & +  0.02 x_{32} & +  0.70 x_{6} & +  6.02 x_{11}\\
 x_{7}   &  4.04965355078 & -0.01 x_{31} & -0.02 x_{22} & -0.29 x_{1} & -0.26 x_{4} & -0.61 x_{5} & +  0.02 x_{9} & -0.09 x_{30} & +  0.04 x_{23} & +  0.02 x_{27} & +  0.01 x_{21} & -0.35 x_{3} & -0.20 x_{15} & +  0.06 x_{32} & +  1.03 x_{6} & +  0.51 x_{11}\\
 x_{8}   &  2.32856586444 & +  0.03 x_{31} & +  0.12 x_{22} & +  0.44 x_{1} & +  0.32 x_{4} & -0.13 x_{5} & -0.35 x_{9} & -0.05 x_{30} & +  0.00 x_{23} & -0.03 x_{27} & +  0.06 x_{21} & -1.82 x_{3} & -0.96 x_{15} & -0.03 x_{32} & +  1.14 x_{6} & -0.53 x_{11}\\
 x_{24}   &  29.7413744099 & +  1.22 x_{31} & -0.03 x_{22} & + 15.46 x_{1} & -16.22 x_{4} & -6.49 x_{5} & -2.03 x_{9} & -0.72 x_{30} & +  0.37 x_{23} & +  0.15 x_{27} & +  0.44 x_{21} & -16.14 x_{3} & -13.52 x_{15} & +  0.42 x_{32} & + 28.08 x_{6} & -18.71 x_{11}\\
 x_{16}   &  32.5780309032 & +  1.17 x_{31} & -0.48 x_{22} & +  2.37 x_{1} & -16.05 x_{4} & + 19.02 x_{5} & -9.91 x_{9} & +  1.17 x_{30} & -0.04 x_{23} & +  0.54 x_{27} & -0.22 x_{21} & +  7.74 x_{3} & +  9.93 x_{15} & -0.76 x_{32} & -0.50 x_{6} & -16.15 x_{11}\\
 x_{26}   &  73.7351087632 & +  0.92 x_{31} & +  0.40 x_{22} & -2.05 x_{1} & -19.80 x_{4} & -9.43 x_{5} & -6.70 x_{9} & -1.66 x_{30} & +  0.43 x_{23} & +  0.03 x_{27} & +  1.27 x_{21} & -28.63 x_{3} & -18.33 x_{15} & +  0.43 x_{32} & + 26.66 x_{6} & -10.05 x_{11}\\
 x_{25}   &  17.785279297 & +  0.73 x_{31} & +  0.50 x_{22} & + 19.08 x_{1} & +  4.93 x_{4} & +  3.62 x_{5} & +  2.88 x_{9} & -0.29 x_{30} & +  0.13 x_{23} & +  0.13 x_{27} & +  0.14 x_{21} & -13.41 x_{3} & -13.38 x_{15} & +  0.71 x_{32} & + 13.96 x_{6} & -10.70 x_{11}\\
 x_{12}   &  1.1916795289 & +  0.06 x_{31} & -0.00 x_{22} & +  0.46 x_{1} & -1.32 x_{4} & -0.18 x_{5} & -0.47 x_{9} & -0.00 x_{30} & +  0.04 x_{23} & +  0.02 x_{27} & +  0.05 x_{21} & -0.45 x_{3} & -0.55 x_{15} & +  0.05 x_{32} & +  1.49 x_{6} & -0.65 x_{11}\\
 x_{29}   &  19.4717394469 & +  0.09 x_{31} & +  0.06 x_{22} & -6.22 x_{1} & +  1.72 x_{4} & -4.19 x_{5} & + 14.98 x_{9} & -0.88 x_{30} & -0.19 x_{23} & +  0.07 x_{27} & -0.41 x_{21} & -2.07 x_{3} & -4.82 x_{15} & +  0.18 x_{32} & +  4.27 x_{6} & + 11.45 x_{11}\\
 x_{17}   &  54.0658740577 & +  0.51 x_{31} & -0.06 x_{22} & -5.08 x_{1} & -23.83 x_{4} & -9.99 x_{5} & -11.91 x_{9} & -1.85 x_{30} & +  0.44 x_{23} & +  0.37 x_{27} & +  1.25 x_{21} & -16.06 x_{3} & -14.29 x_{15} & +  0.84 x_{32} & + 27.95 x_{6} & -7.45 x_{11}\\
 x_{14}   &  2.69224953785 & -0.05 x_{31} & -0.11 x_{22} & -1.40 x_{1} & -0.45 x_{4} & -2.74 x_{5} & -0.31 x_{9} & -0.09 x_{30} & +  0.04 x_{23} & -0.03 x_{27} & +  0.06 x_{21} & -0.77 x_{3} & +  0.44 x_{15} & +  0.13 x_{32} & +  0.31 x_{6} & +  1.21 x_{11}\\
 x_{28}   &  21.9095661141 & -1.51 x_{31} & -1.63 x_{22} & -9.72 x_{1} & +  7.40 x_{4} & -36.80 x_{5} & -5.87 x_{9} & -0.28 x_{30} & -0.18 x_{23} & -0.23 x_{27} & -0.31 x_{21} & +  1.38 x_{3} & + 19.10 x_{15} & +  1.19 x_{32} & -29.05 x_{6} & + 20.87 x_{11}\\
\hline
z    &  13.6894418243 & -0.26 x_{31} & -0.73 x_{22} & -3.48 x_{1} & -2.68 x_{4} & -18.97 x_{5} & +  0.53 x_{9} & -0.45 x_{30} & +  0.22 x_{23} & -0.12 x_{27} & +  0.18 x_{21} & -7.28 x_{3} & -3.08 x_{15} & +  0.90 x_{32} & +  2.54 x_{6} & +  2.15 x_{11}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{2} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{6}   &  0.288100837781 & -0.08 x_{31} & -0.06 x_{22} & -0.57 x_{1} & -0.25 x_{4} & -0.38 x_{5} & -0.41 x_{9} & +  0.01 x_{30} & -0.00 x_{23} & +  0.05 x_{27} & -0.00 x_{21} & +  0.93 x_{3} & +  1.44 x_{15} & -0.00 x_{32} & -1.27 x_{2} & +  0.73 x_{11}\\
 x_{13}   &  3.8068689617 & -0.06 x_{31} & -0.07 x_{22} & -0.26 x_{1} & -0.34 x_{4} & -1.03 x_{5} & -0.69 x_{9} & -0.04 x_{30} & -0.04 x_{23} & +  0.07 x_{27} & +  0.01 x_{21} & +  0.30 x_{3} & +  1.46 x_{15} & +  0.07 x_{32} & -0.56 x_{2} & +  0.84 x_{11}\\
 x_{10}   &  3.94979971851 & -0.01 x_{31} & -0.10 x_{22} & -0.09 x_{1} & -1.95 x_{4} & +  0.01 x_{5} & -1.21 x_{9} & -0.01 x_{30} & -0.01 x_{23} & +  0.12 x_{27} & +  0.06 x_{21} & +  0.89 x_{3} & +  1.83 x_{15} & +  0.00 x_{32} & -1.62 x_{2} & +  0.11 x_{11}\\
 x_{19}   &  6.18143007367 & +  0.78 x_{31} & +  1.65 x_{22} & +  5.30 x_{1} & + 18.21 x_{4} & +  7.03 x_{5} & +  6.45 x_{9} & -0.01 x_{30} & -0.85 x_{23} & -0.86 x_{27} & -1.06 x_{21} & -12.71 x_{3} & -29.92 x_{15} & -0.43 x_{32} & + 29.49 x_{2} & -8.51 x_{11}\\
 x_{20}   &  40.9546286223 & -0.90 x_{31} & -2.39 x_{22} & -2.23 x_{1} & -24.48 x_{4} & -31.34 x_{5} & -13.19 x_{9} & -1.05 x_{30} & +  0.29 x_{23} & +  1.77 x_{27} & +  0.91 x_{21} & + 13.48 x_{3} & + 37.27 x_{15} & +  1.75 x_{32} & -28.50 x_{2} & + 16.88 x_{11}\\
 x_{18}   &  5.31029109945 & -0.58 x_{31} & +  0.05 x_{22} & -7.57 x_{1} & -2.81 x_{4} & -12.76 x_{5} & +  0.15 x_{9} & -0.38 x_{30} & -0.34 x_{23} & +  0.14 x_{27} & +  0.39 x_{21} & +  3.68 x_{3} & + 12.02 x_{15} & +  0.02 x_{32} & -0.89 x_{2} & +  6.54 x_{11}\\
 x_{7}   &  4.34683702727 & -0.09 x_{31} & -0.08 x_{22} & -0.88 x_{1} & -0.52 x_{4} & -1.00 x_{5} & -0.40 x_{9} & -0.07 x_{30} & +  0.04 x_{23} & +  0.07 x_{27} & +  0.00 x_{21} & +  0.61 x_{3} & +  1.28 x_{15} & +  0.05 x_{32} & -1.31 x_{2} & +  1.26 x_{11}\\
 x_{8}   &  2.65646775753 & -0.06 x_{31} & +  0.05 x_{22} & -0.20 x_{1} & +  0.04 x_{4} & -0.57 x_{5} & -0.81 x_{9} & -0.04 x_{30} & +  0.00 x_{23} & +  0.02 x_{27} & +  0.06 x_{21} & -0.76 x_{3} & +  0.67 x_{15} & -0.03 x_{32} & -1.44 x_{2} & +  0.30 x_{11}\\
 x_{24}   &  37.8312168613 & -1.00 x_{31} & -1.66 x_{22} & -0.51 x_{1} & -23.32 x_{4} & -17.16 x_{5} & -13.47 x_{9} & -0.33 x_{30} & +  0.35 x_{23} & +  1.55 x_{27} & +  0.38 x_{21} & +  9.90 x_{3} & + 26.88 x_{15} & +  0.37 x_{32} & -35.60 x_{2} & +  1.87 x_{11}\\
 x_{16}   &  32.4325709421 & +  1.21 x_{31} & -0.46 x_{22} & +  2.66 x_{1} & -15.93 x_{4} & + 19.21 x_{5} & -9.70 x_{9} & +  1.16 x_{30} & -0.04 x_{23} & +  0.52 x_{27} & -0.22 x_{21} & +  7.27 x_{3} & +  9.21 x_{15} & -0.76 x_{32} & +  0.64 x_{2} & -16.52 x_{11}\\
 x_{26}   &  81.4150470133 & -1.18 x_{31} & -1.15 x_{22} & -17.21 x_{1} & -26.54 x_{4} & -19.56 x_{5} & -17.56 x_{9} & -1.28 x_{30} & +  0.41 x_{23} & +  1.36 x_{27} & +  1.22 x_{21} & -3.90 x_{3} & + 20.02 x_{15} & +  0.38 x_{32} & -33.80 x_{2} & +  9.48 x_{11}\\
 x_{25}   &  21.8060537694 & -0.38 x_{31} & -0.32 x_{22} & + 11.14 x_{1} & +  1.40 x_{4} & -1.68 x_{5} & -2.80 x_{9} & -0.09 x_{30} & +  0.12 x_{23} & +  0.83 x_{27} & +  0.11 x_{21} & -0.47 x_{3} & +  6.70 x_{15} & +  0.69 x_{32} & -17.69 x_{2} & -0.47 x_{11}\\
 x_{12}   &  1.62046444519 & -0.05 x_{31} & -0.09 x_{22} & -0.39 x_{1} & -1.69 x_{4} & -0.74 x_{5} & -1.07 x_{9} & +  0.02 x_{30} & +  0.04 x_{23} & +  0.09 x_{27} & +  0.05 x_{21} & +  0.93 x_{3} & +  1.59 x_{15} & +  0.04 x_{32} & -1.89 x_{2} & +  0.44 x_{11}\\
 x_{29}   &  20.7008846155 & -0.25 x_{31} & -0.19 x_{22} & -8.65 x_{1} & +  0.64 x_{4} & -5.81 x_{5} & + 13.24 x_{9} & -0.82 x_{30} & -0.20 x_{23} & +  0.28 x_{27} & -0.42 x_{21} & +  1.88 x_{3} & +  1.32 x_{15} & +  0.17 x_{32} & -5.41 x_{2} & + 14.58 x_{11}\\
 x_{17}   &  62.1197265977 & -1.70 x_{31} & -1.68 x_{22} & -20.98 x_{1} & -30.89 x_{4} & -20.61 x_{5} & -23.30 x_{9} & -1.46 x_{30} & +  0.42 x_{23} & +  1.76 x_{27} & +  1.20 x_{21} & +  9.87 x_{3} & + 25.93 x_{15} & +  0.79 x_{32} & -35.44 x_{2} & + 13.03 x_{11}\\
 x_{14}   &  2.78208725022 & -0.08 x_{31} & -0.13 x_{22} & -1.58 x_{1} & -0.53 x_{4} & -2.86 x_{5} & -0.44 x_{9} & -0.08 x_{30} & +  0.04 x_{23} & -0.01 x_{27} & +  0.06 x_{21} & -0.48 x_{3} & +  0.88 x_{15} & +  0.13 x_{32} & -0.40 x_{2} & +  1.44 x_{11}\\
 x_{28}   &  13.5404173063 & +  0.78 x_{31} & +  0.06 x_{22} & +  6.80 x_{1} & + 14.74 x_{4} & -25.75 x_{5} & +  5.96 x_{9} & -0.68 x_{30} & -0.15 x_{23} & -1.68 x_{27} & -0.25 x_{21} & -25.57 x_{3} & -22.69 x_{15} & +  1.24 x_{32} & + 36.83 x_{2} & -0.42 x_{11}\\
\hline
z    &  14.4218714517 & -0.47 x_{31} & -0.88 x_{22} & -4.93 x_{1} & -3.32 x_{4} & -19.94 x_{5} & -0.50 x_{9} & -0.41 x_{30} & +  0.22 x_{23} & +  0.01 x_{27} & +  0.18 x_{21} & -4.92 x_{3} & +  0.57 x_{15} & +  0.90 x_{32} & -3.22 x_{2} & +  4.01 x_{11}\\
\end{array}\]


 $ x_{11} $ enters and $ x_{19} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{6}   &  0.820432745118 & -0.01 x_{31} & +  0.08 x_{22} & -0.11 x_{1} & +  1.32 x_{4} & +  0.23 x_{5} & +  0.15 x_{9} & +  0.01 x_{30} & -0.07 x_{23} & -0.02 x_{27} & -0.09 x_{21} & -0.17 x_{3} & -1.14 x_{15} & -0.04 x_{32} & +  1.27 x_{2} & -0.09 x_{19}\\
 x_{13}   &  4.41959060634 & +  0.02 x_{31} & +  0.09 x_{22} & +  0.27 x_{1} & +  1.47 x_{4} & -0.34 x_{5} & -0.05 x_{9} & -0.04 x_{30} & -0.12 x_{23} & -0.01 x_{27} & -0.09 x_{21} & -0.96 x_{3} & -1.51 x_{15} & +  0.03 x_{32} & +  2.37 x_{2} & -0.10 x_{19}\\
 x_{10}   &  4.02963132484 & -0.00 x_{31} & -0.08 x_{22} & -0.02 x_{1} & -1.71 x_{4} & +  0.10 x_{5} & -1.13 x_{9} & -0.01 x_{30} & -0.02 x_{23} & +  0.11 x_{27} & +  0.05 x_{21} & +  0.72 x_{3} & +  1.44 x_{15} & -0.01 x_{32} & -1.24 x_{2} & -0.01 x_{19}\\
 x_{11}   &  0.726508159941 & +  0.09 x_{31} & +  0.19 x_{22} & +  0.62 x_{1} & +  2.14 x_{4} & +  0.83 x_{5} & +  0.76 x_{9} & -0.00 x_{30} & -0.10 x_{23} & -0.10 x_{27} & -0.12 x_{21} & -1.49 x_{3} & -3.52 x_{15} & -0.05 x_{32} & +  3.47 x_{2} & -0.12 x_{19}\\
 x_{20}   &  53.2146067711 & +  0.65 x_{31} & +  0.88 x_{22} & +  8.29 x_{1} & + 11.64 x_{4} & -17.39 x_{5} & -0.40 x_{9} & -1.07 x_{30} & -1.38 x_{23} & +  0.06 x_{27} & -1.19 x_{21} & -11.73 x_{3} & -22.07 x_{15} & +  0.90 x_{32} & + 29.98 x_{2} & -1.98 x_{19}\\
 x_{18}   &  10.0621866299 & +  0.02 x_{31} & +  1.32 x_{22} & -3.50 x_{1} & + 11.18 x_{4} & -7.36 x_{5} & +  5.11 x_{9} & -0.39 x_{30} & -0.99 x_{23} & -0.53 x_{27} & -0.43 x_{21} & -6.09 x_{3} & -10.98 x_{15} & -0.31 x_{32} & + 21.77 x_{2} & -0.77 x_{19}\\
 x_{7}   &  5.26439547931 & +  0.02 x_{31} & +  0.17 x_{22} & -0.09 x_{1} & +  2.18 x_{4} & +  0.04 x_{5} & +  0.55 x_{9} & -0.07 x_{30} & -0.09 x_{23} & -0.06 x_{27} & -0.15 x_{21} & -1.28 x_{3} & -3.16 x_{15} & -0.01 x_{32} & +  3.07 x_{2} & -0.15 x_{19}\\
 x_{8}   &  2.87550490701 & -0.03 x_{31} & +  0.11 x_{22} & -0.01 x_{1} & +  0.68 x_{4} & -0.32 x_{5} & -0.59 x_{9} & -0.04 x_{30} & -0.03 x_{23} & -0.01 x_{27} & +  0.02 x_{21} & -1.21 x_{3} & -0.39 x_{15} & -0.05 x_{32} & -0.40 x_{2} & -0.04 x_{19}\\
 x_{24}   &  39.1872112183 & -0.83 x_{31} & -1.30 x_{22} & +  0.66 x_{1} & -19.32 x_{4} & -15.62 x_{5} & -12.06 x_{9} & -0.34 x_{30} & +  0.16 x_{23} & +  1.36 x_{27} & +  0.15 x_{21} & +  7.12 x_{3} & + 20.32 x_{15} & +  0.28 x_{32} & -29.13 x_{2} & -0.22 x_{19}\\
 x_{16}   &  20.4283840955 & -0.30 x_{31} & -3.66 x_{22} & -7.63 x_{1} & -51.29 x_{4} & +  5.56 x_{5} & -22.23 x_{9} & +  1.18 x_{30} & +  1.61 x_{23} & +  2.19 x_{27} & +  1.84 x_{21} & + 31.95 x_{3} & + 67.31 x_{15} & +  0.08 x_{32} & -56.62 x_{2} & +  1.94 x_{19}\\
 x_{26}   &  88.3019571697 & -0.32 x_{31} & +  0.69 x_{22} & -11.30 x_{1} & -6.25 x_{4} & -11.73 x_{5} & -10.37 x_{9} & -1.30 x_{30} & -0.53 x_{23} & +  0.40 x_{27} & +  0.04 x_{21} & -18.06 x_{3} & -13.31 x_{15} & -0.10 x_{32} & -0.95 x_{2} & -1.11 x_{19}\\
 x_{25}   &  21.4626038284 & -0.42 x_{31} & -0.41 x_{22} & + 10.85 x_{1} & +  0.39 x_{4} & -2.07 x_{5} & -3.16 x_{9} & -0.09 x_{30} & +  0.17 x_{23} & +  0.88 x_{27} & +  0.17 x_{21} & +  0.24 x_{3} & +  8.36 x_{15} & +  0.71 x_{32} & -19.33 x_{2} & +  0.06 x_{19}\\
 x_{12}   &  1.94106624491 & -0.01 x_{31} & -0.01 x_{22} & -0.11 x_{1} & -0.75 x_{4} & -0.38 x_{5} & -0.74 x_{9} & +  0.02 x_{30} & -0.00 x_{23} & +  0.05 x_{27} & -0.01 x_{21} & +  0.27 x_{3} & +  0.04 x_{15} & +  0.02 x_{32} & -0.36 x_{2} & -0.05 x_{19}\\
 x_{29}   &  31.2918386428 & +  1.08 x_{31} & +  2.64 x_{22} & +  0.43 x_{1} & + 31.84 x_{4} & +  6.24 x_{5} & + 24.29 x_{9} & -0.84 x_{30} & -1.65 x_{23} & -1.20 x_{27} & -2.23 x_{21} & -19.89 x_{3} & -49.94 x_{15} & -0.57 x_{32} & + 45.11 x_{2} & -1.71 x_{19}\\
 x_{17}   &  71.5867909708 & -0.50 x_{31} & +  0.84 x_{22} & -12.86 x_{1} & -3.00 x_{4} & -9.84 x_{5} & -13.42 x_{9} & -1.48 x_{30} & -0.88 x_{23} & +  0.44 x_{27} & -0.43 x_{21} & -9.59 x_{3} & -19.89 x_{15} & +  0.13 x_{32} & +  9.72 x_{2} & -1.53 x_{19}\\
 x_{14}   &  3.8251878574 & +  0.05 x_{31} & +  0.15 x_{22} & -0.68 x_{1} & +  2.55 x_{4} & -1.67 x_{5} & +  0.65 x_{9} & -0.08 x_{30} & -0.11 x_{23} & -0.16 x_{27} & -0.12 x_{21} & -2.63 x_{3} & -4.16 x_{15} & +  0.06 x_{32} & +  4.58 x_{2} & -0.17 x_{19}\\
 x_{28}   &  13.238583789 & +  0.75 x_{31} & -0.02 x_{22} & +  6.54 x_{1} & + 13.85 x_{4} & -26.10 x_{5} & +  5.65 x_{9} & -0.68 x_{30} & -0.11 x_{23} & -1.64 x_{27} & -0.20 x_{21} & -24.94 x_{3} & -21.23 x_{15} & +  1.26 x_{32} & + 35.39 x_{2} & +  0.05 x_{19}\\
\hline
z    &  17.337809679 & -0.10 x_{31} & -0.10 x_{22} & -2.43 x_{1} & +  5.27 x_{4} & -16.62 x_{5} & +  2.54 x_{9} & -0.42 x_{30} & -0.18 x_{23} & -0.40 x_{27} & -0.32 x_{21} & -10.92 x_{3} & -13.54 x_{15} & +  0.69 x_{32} & + 10.69 x_{2} & -0.47 x_{19}\\
\end{array}\]


 $ x_{2} $ enters and $ x_{16} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{6}   &  1.27915910998 & -0.02 x_{31} & +  0.00 x_{22} & -0.28 x_{1} & +  0.16 x_{4} & +  0.35 x_{5} & -0.35 x_{9} & +  0.04 x_{30} & -0.04 x_{23} & +  0.02 x_{27} & -0.05 x_{21} & +  0.55 x_{3} & +  0.37 x_{15} & -0.04 x_{32} & -0.02 x_{16} & -0.04 x_{19}\\
 x_{13}   &  5.27335311526 & +  0.00 x_{31} & -0.06 x_{22} & -0.05 x_{1} & -0.68 x_{4} & -0.10 x_{5} & -0.98 x_{9} & +  0.01 x_{30} & -0.05 x_{23} & +  0.08 x_{27} & -0.01 x_{21} & +  0.37 x_{3} & +  1.31 x_{15} & +  0.04 x_{32} & -0.04 x_{16} & -0.02 x_{19}\\
 x_{10}   &  3.582984114 & +  0.00 x_{31} & +  0.00 x_{22} & +  0.14 x_{1} & -0.59 x_{4} & -0.02 x_{5} & -0.64 x_{9} & -0.04 x_{30} & -0.05 x_{23} & +  0.06 x_{27} & +  0.01 x_{21} & +  0.02 x_{3} & -0.03 x_{15} & -0.01 x_{32} & +  0.02 x_{16} & -0.06 x_{19}\\
 x_{11}   &  1.97683643433 & +  0.07 x_{31} & -0.03 x_{22} & +  0.16 x_{1} & -1.00 x_{4} & +  1.17 x_{5} & -0.60 x_{9} & +  0.07 x_{30} & -0.00 x_{23} & +  0.03 x_{27} & -0.01 x_{21} & +  0.46 x_{3} & +  0.60 x_{15} & -0.05 x_{32} & -0.06 x_{16} & +  0.00 x_{19}\\
 x_{20}   &  64.0299932329 & +  0.49 x_{31} & -1.06 x_{22} & +  4.24 x_{1} & -15.52 x_{4} & -14.45 x_{5} & -12.16 x_{9} & -0.45 x_{30} & -0.53 x_{23} & +  1.22 x_{27} & -0.22 x_{21} & +  5.19 x_{3} & + 13.56 x_{15} & +  0.94 x_{32} & -0.53 x_{16} & -0.96 x_{19}\\
 x_{18}   &  17.9181051459 & -0.10 x_{31} & -0.09 x_{22} & -6.43 x_{1} & -8.54 x_{4} & -5.22 x_{5} & -3.44 x_{9} & +  0.07 x_{30} & -0.37 x_{23} & +  0.32 x_{27} & +  0.28 x_{21} & +  6.20 x_{3} & + 14.91 x_{15} & -0.28 x_{32} & -0.38 x_{16} & -0.02 x_{19}\\
 x_{7}   &  6.37168016979 & +  0.01 x_{31} & -0.03 x_{22} & -0.51 x_{1} & -0.60 x_{4} & +  0.34 x_{5} & -0.65 x_{9} & -0.01 x_{30} & -0.00 x_{23} & +  0.06 x_{27} & -0.05 x_{21} & +  0.45 x_{3} & +  0.49 x_{15} & -0.01 x_{32} & -0.05 x_{16} & -0.04 x_{19}\\
 x_{8}   &  2.73185485937 & -0.03 x_{31} & +  0.14 x_{22} & +  0.04 x_{1} & +  1.04 x_{4} & -0.36 x_{5} & -0.43 x_{9} & -0.05 x_{30} & -0.04 x_{23} & -0.02 x_{27} & +  0.01 x_{21} & -1.44 x_{3} & -0.86 x_{15} & -0.05 x_{32} & +  0.01 x_{16} & -0.05 x_{19}\\
 x_{24}   &  28.6765139468 & -0.68 x_{31} & +  0.58 x_{22} & +  4.59 x_{1} & +  7.07 x_{4} & -18.48 x_{5} & -0.62 x_{9} & -0.94 x_{30} & -0.66 x_{23} & +  0.23 x_{27} & -0.80 x_{21} & -9.32 x_{3} & -14.31 x_{15} & +  0.24 x_{32} & +  0.51 x_{16} & -1.22 x_{19}\\
 x_{2}   &  0.360802673025 & -0.01 x_{31} & -0.06 x_{22} & -0.13 x_{1} & -0.91 x_{4} & +  0.10 x_{5} & -0.39 x_{9} & +  0.02 x_{30} & +  0.03 x_{23} & +  0.04 x_{27} & +  0.03 x_{21} & +  0.56 x_{3} & +  1.19 x_{15} & +  0.00 x_{32} & -0.02 x_{16} & +  0.03 x_{19}\\
 x_{26}   &  87.9608365935 & -0.31 x_{31} & +  0.75 x_{22} & -11.17 x_{1} & -5.40 x_{4} & -11.82 x_{5} & -10.00 x_{9} & -1.32 x_{30} & -0.56 x_{23} & +  0.36 x_{27} & +  0.01 x_{21} & -18.59 x_{3} & -14.43 x_{15} & -0.10 x_{32} & +  0.02 x_{16} & -1.15 x_{19}\\
 x_{25}   &  14.4876720339 & -0.32 x_{31} & +  0.84 x_{22} & + 13.46 x_{1} & + 17.90 x_{4} & -3.97 x_{5} & +  4.43 x_{9} & -0.50 x_{30} & -0.38 x_{23} & +  0.13 x_{27} & -0.46 x_{21} & -10.67 x_{3} & -14.62 x_{15} & +  0.68 x_{32} & +  0.34 x_{16} & -0.61 x_{19}\\
 x_{12}   &  1.81203638006 & -0.01 x_{31} & +  0.02 x_{22} & -0.07 x_{1} & -0.42 x_{4} & -0.41 x_{5} & -0.60 x_{9} & +  0.01 x_{30} & -0.01 x_{23} & +  0.04 x_{27} & -0.02 x_{21} & +  0.07 x_{3} & -0.38 x_{15} & +  0.02 x_{32} & +  0.01 x_{16} & -0.06 x_{19}\\
 x_{29}   &  47.5674489119 & +  0.84 x_{31} & -0.28 x_{22} & -5.65 x_{1} & -9.03 x_{4} & + 10.67 x_{5} & +  6.58 x_{9} & +  0.10 x_{30} & -0.37 x_{23} & +  0.55 x_{27} & -0.76 x_{21} & +  5.56 x_{3} & +  3.69 x_{15} & -0.50 x_{32} & -0.80 x_{16} & -0.17 x_{19}\\
 x_{17}   &  75.0924732946 & -0.55 x_{31} & +  0.22 x_{22} & -14.17 x_{1} & -11.81 x_{4} & -8.89 x_{5} & -17.23 x_{9} & -1.27 x_{30} & -0.60 x_{23} & +  0.82 x_{27} & -0.11 x_{21} & -4.11 x_{3} & -8.34 x_{15} & +  0.14 x_{32} & -0.17 x_{16} & -1.20 x_{19}\\
 x_{14}   &  5.47773826595 & +  0.03 x_{31} & -0.14 x_{22} & -1.30 x_{1} & -1.60 x_{4} & -1.22 x_{5} & -1.14 x_{9} & +  0.01 x_{30} & +  0.02 x_{23} & +  0.02 x_{27} & +  0.03 x_{21} & -0.04 x_{3} & +  1.28 x_{15} & +  0.07 x_{32} & -0.08 x_{16} & -0.01 x_{19}\\
 x_{28}   &  26.0069624509 & +  0.56 x_{31} & -2.30 x_{22} & +  1.77 x_{1} & -18.21 x_{4} & -22.62 x_{5} & -8.25 x_{9} & +  0.06 x_{30} & +  0.89 x_{23} & -0.27 x_{27} & +  0.95 x_{21} & -4.98 x_{3} & + 20.84 x_{15} & +  1.31 x_{32} & -0.63 x_{16} & +  1.26 x_{19}\\
\hline
z    &  21.1932796444 & -0.15 x_{31} & -0.79 x_{22} & -3.87 x_{1} & -4.41 x_{4} & -15.57 x_{5} & -1.65 x_{9} & -0.20 x_{30} & +  0.12 x_{23} & +  0.01 x_{27} & +  0.03 x_{21} & -4.89 x_{3} & -0.84 x_{15} & +  0.71 x_{32} & -0.19 x_{16} & -0.11 x_{19}\\
\end{array}\]


 $ x_{21} $ enters and $ x_{6} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{21}   &  24.649527465 & -0.36 x_{31} & +  0.03 x_{22} & -5.46 x_{1} & +  3.16 x_{4} & +  6.75 x_{5} & -6.76 x_{9} & +  0.76 x_{30} & -0.73 x_{23} & +  0.48 x_{27} & -19.27 x_{6} & + 10.61 x_{3} & +  7.20 x_{15} & -0.71 x_{32} & -0.43 x_{16} & -0.82 x_{19}\\
 x_{13}   &  4.95029873964 & +  0.01 x_{31} & -0.06 x_{22} & +  0.02 x_{1} & -0.72 x_{4} & -0.19 x_{5} & -0.89 x_{9} & -0.00 x_{30} & -0.04 x_{23} & +  0.07 x_{27} & +  0.25 x_{6} & +  0.23 x_{3} & +  1.21 x_{15} & +  0.04 x_{32} & -0.04 x_{16} & -0.01 x_{19}\\
 x_{10}   &  3.71781816322 & +  0.00 x_{31} & +  0.00 x_{22} & +  0.11 x_{1} & -0.57 x_{4} & +  0.02 x_{5} & -0.68 x_{9} & -0.04 x_{30} & -0.06 x_{23} & +  0.06 x_{27} & -0.11 x_{6} & +  0.08 x_{3} & +  0.01 x_{15} & -0.01 x_{32} & +  0.02 x_{16} & -0.06 x_{19}\\
 x_{11}   &  1.68444491646 & +  0.08 x_{31} & -0.03 x_{22} & +  0.22 x_{1} & -1.04 x_{4} & +  1.09 x_{5} & -0.52 x_{9} & +  0.06 x_{30} & +  0.01 x_{23} & +  0.03 x_{27} & +  0.23 x_{6} & +  0.34 x_{3} & +  0.52 x_{15} & -0.04 x_{32} & -0.06 x_{16} & +  0.01 x_{19}\\
 x_{20}   &  58.6372211651 & +  0.56 x_{31} & -1.06 x_{22} & +  5.44 x_{1} & -16.21 x_{4} & -15.93 x_{5} & -10.69 x_{9} & -0.61 x_{30} & -0.38 x_{23} & +  1.12 x_{27} & +  4.22 x_{6} & +  2.87 x_{3} & + 11.99 x_{15} & +  1.10 x_{32} & -0.43 x_{16} & -0.78 x_{19}\\
 x_{18}   &  24.8593222416 & -0.20 x_{31} & -0.08 x_{22} & -7.97 x_{1} & -7.65 x_{4} & -3.32 x_{5} & -5.34 x_{9} & +  0.28 x_{30} & -0.58 x_{23} & +  0.45 x_{27} & -5.43 x_{6} & +  9.19 x_{3} & + 16.93 x_{15} & -0.48 x_{32} & -0.51 x_{16} & -0.25 x_{19}\\
 x_{7}   &  5.06247165689 & +  0.03 x_{31} & -0.03 x_{22} & -0.22 x_{1} & -0.77 x_{4} & -0.02 x_{5} & -0.29 x_{9} & -0.05 x_{30} & +  0.04 x_{23} & +  0.03 x_{27} & +  1.02 x_{6} & -0.11 x_{3} & +  0.10 x_{15} & +  0.03 x_{32} & -0.03 x_{16} & +  0.00 x_{19}\\
 x_{8}   &  3.01370008056 & -0.03 x_{31} & +  0.14 x_{22} & -0.02 x_{1} & +  1.08 x_{4} & -0.28 x_{5} & -0.51 x_{9} & -0.04 x_{30} & -0.05 x_{23} & -0.02 x_{27} & -0.22 x_{6} & -1.32 x_{3} & -0.78 x_{15} & -0.06 x_{32} & +  0.00 x_{16} & -0.06 x_{19}\\
 x_{24}   &  9.01282146142 & -0.39 x_{31} & +  0.56 x_{22} & +  8.95 x_{1} & +  4.55 x_{4} & -23.86 x_{5} & +  4.78 x_{9} & -1.55 x_{30} & -0.08 x_{23} & -0.15 x_{27} & + 15.37 x_{6} & -17.78 x_{3} & -20.06 x_{15} & +  0.81 x_{32} & +  0.86 x_{16} & -0.57 x_{19}\\
 x_{2}   &  1.16266804927 & -0.02 x_{31} & -0.06 x_{22} & -0.31 x_{1} & -0.80 x_{4} & +  0.32 x_{5} & -0.61 x_{9} & +  0.05 x_{30} & +  0.00 x_{23} & +  0.05 x_{27} & -0.63 x_{6} & +  0.91 x_{3} & +  1.42 x_{15} & -0.02 x_{32} & -0.03 x_{16} & +  0.01 x_{19}\\
 x_{26}   &  88.1209953293 & -0.31 x_{31} & +  0.75 x_{22} & -11.21 x_{1} & -5.37 x_{4} & -11.77 x_{5} & -10.05 x_{9} & -1.31 x_{30} & -0.56 x_{23} & +  0.37 x_{27} & -0.13 x_{6} & -18.53 x_{3} & -14.38 x_{15} & -0.10 x_{32} & +  0.01 x_{16} & -1.15 x_{19}\\
 x_{25}   &  3.21603314156 & -0.15 x_{31} & +  0.83 x_{22} & + 15.96 x_{1} & + 16.46 x_{4} & -7.06 x_{5} & +  7.52 x_{9} & -0.85 x_{30} & -0.05 x_{23} & -0.09 x_{27} & +  8.81 x_{6} & -15.52 x_{3} & -17.91 x_{15} & +  1.01 x_{32} & +  0.54 x_{16} & -0.23 x_{19}\\
 x_{12}   &  1.39362598455 & -0.00 x_{31} & +  0.02 x_{22} & +  0.03 x_{1} & -0.48 x_{4} & -0.53 x_{5} & -0.48 x_{9} & -0.00 x_{30} & -0.00 x_{23} & +  0.03 x_{27} & +  0.33 x_{6} & -0.11 x_{3} & -0.50 x_{15} & +  0.03 x_{32} & +  0.01 x_{16} & -0.05 x_{19}\\
 x_{29}   &  28.7110058104 & +  1.12 x_{31} & -0.30 x_{22} & -1.47 x_{1} & -11.44 x_{4} & +  5.50 x_{5} & + 11.75 x_{9} & -0.48 x_{30} & +  0.19 x_{23} & +  0.18 x_{27} & + 14.74 x_{6} & -2.55 x_{3} & -1.82 x_{15} & +  0.04 x_{32} & -0.47 x_{16} & +  0.46 x_{19}\\
 x_{17}   &  72.3562800505 & -0.51 x_{31} & +  0.21 x_{22} & -13.56 x_{1} & -12.16 x_{4} & -9.64 x_{5} & -16.48 x_{9} & -1.36 x_{30} & -0.52 x_{23} & +  0.77 x_{27} & +  2.14 x_{6} & -5.29 x_{3} & -9.14 x_{15} & +  0.22 x_{32} & -0.12 x_{16} & -1.11 x_{19}\\
 x_{14}   &  6.17978716661 & +  0.02 x_{31} & -0.14 x_{22} & -1.46 x_{1} & -1.51 x_{4} & -1.03 x_{5} & -1.34 x_{9} & +  0.03 x_{30} & +  0.00 x_{23} & +  0.03 x_{27} & -0.55 x_{6} & +  0.26 x_{3} & +  1.49 x_{15} & +  0.04 x_{32} & -0.09 x_{16} & -0.03 x_{19}\\
 x_{28}   &  49.4085586572 & +  0.21 x_{31} & -2.27 x_{22} & -3.42 x_{1} & -15.21 x_{4} & -16.22 x_{5} & -14.67 x_{9} & +  0.78 x_{30} & +  0.20 x_{23} & +  0.18 x_{27} & -18.29 x_{6} & +  5.09 x_{3} & + 27.67 x_{15} & +  0.63 x_{32} & -1.04 x_{16} & +  0.48 x_{19}\\
\hline
z    &  21.812553209 & -0.16 x_{31} & -0.79 x_{22} & -4.01 x_{1} & -4.33 x_{4} & -15.40 x_{5} & -1.82 x_{9} & -0.18 x_{30} & +  0.10 x_{23} & +  0.03 x_{27} & -0.48 x_{6} & -4.62 x_{3} & -0.66 x_{15} & +  0.69 x_{32} & -0.20 x_{16} & -0.13 x_{19}\\
\end{array}\]


 $ x_{23} $ enters and $ x_{21} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{23}   &  33.8879873935 & -0.50 x_{31} & +  0.04 x_{22} & -7.51 x_{1} & +  4.34 x_{4} & +  9.28 x_{5} & -9.30 x_{9} & +  1.05 x_{30} & -1.37 x_{21} & +  0.66 x_{27} & -26.49 x_{6} & + 14.58 x_{3} & +  9.90 x_{15} & -0.98 x_{32} & -0.59 x_{16} & -1.13 x_{19}\\
 x_{13}   &  3.47481571187 & +  0.03 x_{31} & -0.06 x_{22} & +  0.35 x_{1} & -0.91 x_{4} & -0.60 x_{5} & -0.48 x_{9} & -0.05 x_{30} & +  0.06 x_{21} & +  0.04 x_{27} & +  1.41 x_{6} & -0.40 x_{3} & +  0.78 x_{15} & +  0.09 x_{32} & -0.01 x_{16} & +  0.04 x_{19}\\
 x_{10}   &  1.77498627222 & +  0.03 x_{31} & +  0.00 x_{22} & +  0.55 x_{1} & -0.82 x_{4} & -0.52 x_{5} & -0.14 x_{9} & -0.10 x_{30} & +  0.08 x_{21} & +  0.02 x_{27} & +  1.41 x_{6} & -0.75 x_{3} & -0.56 x_{15} & +  0.05 x_{32} & +  0.05 x_{16} & +  0.00 x_{19}\\
 x_{11}   &  1.93464031937 & +  0.07 x_{31} & -0.03 x_{22} & +  0.17 x_{1} & -1.00 x_{4} & +  1.16 x_{5} & -0.59 x_{9} & +  0.07 x_{30} & -0.01 x_{21} & +  0.03 x_{27} & +  0.03 x_{6} & +  0.44 x_{3} & +  0.59 x_{15} & -0.04 x_{32} & -0.06 x_{16} & +  0.00 x_{19}\\
 x_{20}   &  45.9150085243 & +  0.75 x_{31} & -1.08 x_{22} & +  8.26 x_{1} & -17.84 x_{4} & -19.41 x_{5} & -7.19 x_{9} & -1.01 x_{30} & +  0.52 x_{21} & +  0.87 x_{27} & + 14.16 x_{6} & -2.61 x_{3} & +  8.27 x_{15} & +  1.47 x_{32} & -0.21 x_{16} & -0.35 x_{19}\\
 x_{18}   &  5.26717344463 & +  0.09 x_{31} & -0.10 x_{22} & -3.63 x_{1} & -10.16 x_{4} & -8.68 x_{5} & +  0.03 x_{9} & -0.33 x_{30} & +  0.79 x_{21} & +  0.07 x_{27} & +  9.89 x_{6} & +  0.76 x_{3} & + 11.21 x_{15} & +  0.08 x_{32} & -0.16 x_{16} & +  0.40 x_{19}\\
 x_{7}   &  6.298944926 & +  0.01 x_{31} & -0.03 x_{22} & -0.49 x_{1} & -0.61 x_{4} & +  0.32 x_{5} & -0.63 x_{9} & -0.01 x_{30} & -0.05 x_{21} & +  0.06 x_{27} & +  0.06 x_{6} & +  0.42 x_{3} & +  0.47 x_{15} & -0.00 x_{32} & -0.05 x_{16} & -0.04 x_{19}\\
 x_{8}   &  1.41576963123 & -0.01 x_{31} & +  0.14 x_{22} & +  0.33 x_{1} & +  0.87 x_{4} & -0.72 x_{5} & -0.07 x_{9} & -0.09 x_{30} & +  0.06 x_{21} & -0.05 x_{27} & +  1.03 x_{6} & -2.00 x_{3} & -1.24 x_{15} & -0.01 x_{32} & +  0.03 x_{16} & -0.01 x_{19}\\
 x_{24}   &  6.1643637991 & -0.35 x_{31} & +  0.55 x_{22} & +  9.58 x_{1} & +  4.19 x_{4} & -24.64 x_{5} & +  5.56 x_{9} & -1.64 x_{30} & +  0.12 x_{21} & -0.21 x_{27} & + 17.60 x_{6} & -19.01 x_{3} & -20.89 x_{15} & +  0.89 x_{32} & +  0.91 x_{16} & -0.47 x_{19}\\
 x_{2}   &  1.32144219594 & -0.02 x_{31} & -0.06 x_{22} & -0.35 x_{1} & -0.78 x_{4} & +  0.36 x_{5} & -0.66 x_{9} & +  0.05 x_{30} & -0.01 x_{21} & +  0.06 x_{27} & -0.75 x_{6} & +  0.98 x_{3} & +  1.47 x_{15} & -0.03 x_{32} & -0.03 x_{16} & +  0.00 x_{19}\\
 x_{26}   &  68.9929388615 & -0.03 x_{31} & +  0.72 x_{22} & -6.97 x_{1} & -7.82 x_{4} & -17.01 x_{5} & -4.80 x_{9} & -1.90 x_{30} & +  0.78 x_{21} & -0.00 x_{27} & + 14.83 x_{6} & -26.76 x_{3} & -19.97 x_{15} & +  0.45 x_{32} & +  0.35 x_{16} & -0.52 x_{19}\\
 x_{25}   &  1.59259148482 & -0.13 x_{31} & +  0.82 x_{22} & + 16.32 x_{1} & + 16.25 x_{4} & -7.50 x_{5} & +  7.97 x_{9} & -0.90 x_{30} & +  0.07 x_{21} & -0.12 x_{27} & + 10.08 x_{6} & -16.22 x_{3} & -18.39 x_{15} & +  1.06 x_{32} & +  0.57 x_{16} & -0.18 x_{19}\\
 x_{12}   &  1.33369952747 & -0.00 x_{31} & +  0.02 x_{22} & +  0.04 x_{1} & -0.48 x_{4} & -0.55 x_{5} & -0.47 x_{9} & -0.01 x_{30} & +  0.00 x_{21} & +  0.03 x_{27} & +  0.37 x_{6} & -0.13 x_{3} & -0.52 x_{15} & +  0.04 x_{32} & +  0.01 x_{16} & -0.05 x_{19}\\
 x_{29}   &  35.0215170637 & +  1.02 x_{31} & -0.29 x_{22} & -2.87 x_{1} & -10.63 x_{4} & +  7.23 x_{5} & + 10.02 x_{9} & -0.29 x_{30} & -0.26 x_{21} & +  0.31 x_{27} & +  9.81 x_{6} & +  0.16 x_{3} & +  0.02 x_{15} & -0.14 x_{32} & -0.58 x_{16} & +  0.25 x_{19}\\
 x_{17}   &  54.6400672988 & -0.26 x_{31} & +  0.19 x_{22} & -9.63 x_{1} & -14.42 x_{4} & -14.49 x_{5} & -11.62 x_{9} & -1.91 x_{30} & +  0.72 x_{21} & +  0.42 x_{27} & + 15.99 x_{6} & -12.91 x_{3} & -14.31 x_{15} & +  0.73 x_{32} & +  0.19 x_{16} & -0.52 x_{19}\\
 x_{14}   &  6.2333229652 & +  0.02 x_{31} & -0.14 x_{22} & -1.47 x_{1} & -1.51 x_{4} & -1.01 x_{5} & -1.35 x_{9} & +  0.04 x_{30} & -0.00 x_{21} & +  0.03 x_{27} & -0.59 x_{6} & +  0.28 x_{3} & +  1.50 x_{15} & +  0.04 x_{32} & -0.09 x_{16} & -0.04 x_{19}\\
 x_{28}   &  56.3081462231 & +  0.11 x_{31} & -2.26 x_{22} & -4.95 x_{1} & -14.33 x_{4} & -14.33 x_{5} & -16.56 x_{9} & +  1.00 x_{30} & -0.28 x_{21} & +  0.32 x_{27} & -23.69 x_{6} & +  8.06 x_{3} & + 29.69 x_{15} & +  0.43 x_{32} & -1.16 x_{16} & +  0.26 x_{19}\\
\hline
z    &  25.3514634679 & -0.22 x_{31} & -0.79 x_{22} & -4.79 x_{1} & -3.88 x_{4} & -14.43 x_{5} & -2.80 x_{9} & -0.07 x_{30} & -0.14 x_{21} & +  0.09 x_{27} & -3.25 x_{6} & -3.10 x_{3} & +  0.38 x_{15} & +  0.59 x_{32} & -0.26 x_{16} & -0.24 x_{19}\\
\end{array}\]


 $ x_{15} $ enters and $ x_{25} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{23}   &  34.7453008451 & -0.56 x_{31} & +  0.49 x_{22} & +  1.27 x_{1} & + 13.09 x_{4} & +  5.24 x_{5} & -5.01 x_{9} & +  0.56 x_{30} & -1.34 x_{21} & +  0.59 x_{27} & -21.07 x_{6} & +  5.85 x_{3} & -0.54 x_{25} & -0.41 x_{32} & -0.29 x_{16} & -1.22 x_{19}\\
 x_{13}   &  3.54248373338 & +  0.02 x_{31} & -0.03 x_{22} & +  1.04 x_{1} & -0.22 x_{4} & -0.91 x_{5} & -0.15 x_{9} & -0.09 x_{30} & +  0.06 x_{21} & +  0.04 x_{27} & +  1.83 x_{6} & -1.09 x_{3} & -0.04 x_{25} & +  0.13 x_{32} & +  0.01 x_{16} & +  0.03 x_{19}\\
 x_{10}   &  1.72679638295 & +  0.03 x_{31} & -0.02 x_{22} & +  0.05 x_{1} & -1.31 x_{4} & -0.29 x_{5} & -0.39 x_{9} & -0.07 x_{30} & +  0.08 x_{21} & +  0.03 x_{27} & +  1.11 x_{6} & -0.26 x_{3} & +  0.03 x_{25} & +  0.01 x_{32} & +  0.04 x_{16} & +  0.01 x_{19}\\
 x_{11}   &  1.98583047614 & +  0.07 x_{31} & -0.00 x_{22} & +  0.69 x_{1} & -0.48 x_{4} & +  0.91 x_{5} & -0.33 x_{9} & +  0.04 x_{30} & -0.01 x_{21} & +  0.03 x_{27} & +  0.36 x_{6} & -0.08 x_{3} & -0.03 x_{25} & -0.01 x_{32} & -0.04 x_{16} & -0.00 x_{19}\\
 x_{20}   &  46.6316682273 & +  0.69 x_{31} & -0.71 x_{22} & + 15.60 x_{1} & -10.52 x_{4} & -22.79 x_{5} & -3.61 x_{9} & -1.41 x_{30} & +  0.55 x_{21} & +  0.82 x_{27} & + 18.70 x_{6} & -9.91 x_{3} & -0.45 x_{25} & +  1.94 x_{32} & +  0.04 x_{16} & -0.43 x_{19}\\
 x_{18}   &  6.23821873686 & +  0.01 x_{31} & +  0.40 x_{22} & +  6.32 x_{1} & -0.25 x_{4} & -13.26 x_{5} & +  4.89 x_{9} & -0.87 x_{30} & +  0.83 x_{21} & -0.00 x_{27} & + 16.04 x_{6} & -9.13 x_{3} & -0.61 x_{25} & +  0.73 x_{32} & +  0.18 x_{16} & +  0.29 x_{19}\\
 x_{7}   &  6.339285837 & +  0.00 x_{31} & -0.01 x_{22} & -0.08 x_{1} & -0.20 x_{4} & +  0.13 x_{5} & -0.43 x_{9} & -0.03 x_{30} & -0.05 x_{21} & +  0.06 x_{27} & +  0.31 x_{6} & +  0.01 x_{3} & -0.03 x_{25} & +  0.02 x_{32} & -0.04 x_{16} & -0.05 x_{19}\\
 x_{8}   &  1.3080891554 & +  0.00 x_{31} & +  0.08 x_{22} & -0.77 x_{1} & -0.22 x_{4} & -0.21 x_{5} & -0.61 x_{9} & -0.03 x_{30} & +  0.06 x_{21} & -0.04 x_{27} & +  0.35 x_{6} & -0.91 x_{3} & +  0.07 x_{25} & -0.08 x_{32} & -0.01 x_{16} & +  0.01 x_{19}\\
 x_{24}   &  4.35499678999 & -0.20 x_{31} & -0.38 x_{22} & -8.96 x_{1} & -14.27 x_{4} & -16.12 x_{5} & -3.49 x_{9} & -0.62 x_{30} & +  0.04 x_{21} & -0.07 x_{27} & +  6.15 x_{6} & -0.58 x_{3} & +  1.14 x_{25} & -0.31 x_{32} & +  0.26 x_{16} & -0.27 x_{19}\\
 x_{2}   &  1.44871394734 & -0.03 x_{31} & +  0.00 x_{22} & +  0.96 x_{1} & +  0.52 x_{4} & -0.24 x_{5} & -0.02 x_{9} & -0.02 x_{30} & -0.00 x_{21} & +  0.05 x_{27} & +  0.05 x_{6} & -0.32 x_{3} & -0.08 x_{25} & +  0.06 x_{32} & +  0.01 x_{16} & -0.01 x_{19}\\
 x_{26}   &  67.2630232577 & +  0.11 x_{31} & -0.17 x_{22} & -24.69 x_{1} & -25.48 x_{4} & -8.87 x_{5} & -13.45 x_{9} & -0.93 x_{30} & +  0.70 x_{21} & +  0.13 x_{27} & +  3.88 x_{6} & -9.14 x_{3} & +  1.09 x_{25} & -0.70 x_{32} & -0.27 x_{16} & -0.32 x_{19}\\
 x_{15}   &  0.0866192659129 & -0.01 x_{31} & +  0.04 x_{22} & +  0.89 x_{1} & +  0.88 x_{4} & -0.41 x_{5} & +  0.43 x_{9} & -0.05 x_{30} & +  0.00 x_{21} & -0.01 x_{27} & +  0.55 x_{6} & -0.88 x_{3} & -0.05 x_{25} & +  0.06 x_{32} & +  0.03 x_{16} & -0.01 x_{19}\\
 x_{12}   &  1.28845829064 & +  0.00 x_{31} & -0.01 x_{22} & -0.42 x_{1} & -0.95 x_{4} & -0.33 x_{5} & -0.69 x_{9} & +  0.02 x_{30} & +  0.00 x_{21} & +  0.03 x_{27} & +  0.09 x_{6} & +  0.33 x_{3} & +  0.03 x_{25} & +  0.01 x_{32} & -0.00 x_{16} & -0.04 x_{19}\\
 x_{29}   &  35.0233236059 & +  1.02 x_{31} & -0.29 x_{22} & -2.85 x_{1} & -10.61 x_{4} & +  7.22 x_{5} & + 10.03 x_{9} & -0.29 x_{30} & -0.26 x_{21} & +  0.31 x_{27} & +  9.82 x_{6} & +  0.14 x_{3} & -0.00 x_{25} & -0.14 x_{32} & -0.58 x_{16} & +  0.25 x_{19}\\
 x_{17}   &  53.4001254474 & -0.16 x_{31} & -0.45 x_{22} & -22.34 x_{1} & -27.08 x_{4} & -8.65 x_{5} & -17.82 x_{9} & -1.21 x_{30} & +  0.67 x_{21} & +  0.52 x_{27} & +  8.14 x_{6} & -0.28 x_{3} & +  0.78 x_{25} & -0.09 x_{32} & -0.25 x_{16} & -0.38 x_{19}\\
 x_{14}   &  6.36333560181 & +  0.01 x_{31} & -0.08 x_{22} & -0.14 x_{1} & -0.18 x_{4} & -1.63 x_{5} & -0.70 x_{9} & -0.04 x_{30} & +  0.00 x_{21} & +  0.02 x_{27} & +  0.23 x_{6} & -1.04 x_{3} & -0.08 x_{25} & +  0.13 x_{32} & -0.05 x_{16} & -0.05 x_{19}\\
 x_{28}   &  58.8798387892 & -0.09 x_{31} & -0.93 x_{22} & + 21.40 x_{1} & + 11.91 x_{4} & -26.44 x_{5} & -3.70 x_{9} & -0.45 x_{30} & -0.17 x_{21} & +  0.12 x_{27} & -7.41 x_{6} & -18.13 x_{3} & -1.61 x_{25} & +  2.14 x_{32} & -0.24 x_{16} & -0.03 x_{19}\\
\hline
z    &  25.3842545714 & -0.22 x_{31} & -0.77 x_{22} & -4.46 x_{1} & -3.54 x_{4} & -14.59 x_{5} & -2.63 x_{9} & -0.09 x_{30} & -0.14 x_{21} & +  0.09 x_{27} & -3.04 x_{6} & -3.43 x_{3} & -0.02 x_{25} & +  0.61 x_{32} & -0.25 x_{16} & -0.25 x_{19}\\
\end{array}\]


 $ x_{27} $ enters and $ x_{15} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{23}   &  42.5586248888 & -1.19 x_{31} & +  4.53 x_{22} & + 81.32 x_{1} & + 92.81 x_{4} & -31.55 x_{5} & + 34.07 x_{9} & -3.83 x_{30} & -1.02 x_{21} & -90.20 x_{15} & + 28.39 x_{6} & -73.72 x_{3} & -5.44 x_{25} & +  4.78 x_{32} & +  2.50 x_{16} & -2.10 x_{19}\\
 x_{13}   &  4.032382199 & -0.02 x_{31} & +  0.23 x_{22} & +  6.06 x_{1} & +  4.78 x_{4} & -3.22 x_{5} & +  2.30 x_{9} & -0.36 x_{30} & +  0.08 x_{21} & -5.66 x_{15} & +  4.94 x_{6} & -6.08 x_{3} & -0.35 x_{25} & +  0.46 x_{32} & +  0.19 x_{16} & -0.02 x_{19}\\
 x_{10}   &  2.07613831955 & +  0.01 x_{31} & +  0.16 x_{22} & +  3.63 x_{1} & +  2.25 x_{4} & -1.93 x_{5} & +  1.36 x_{9} & -0.27 x_{30} & +  0.09 x_{21} & -4.03 x_{15} & +  3.32 x_{6} & -3.82 x_{3} & -0.19 x_{25} & +  0.25 x_{32} & +  0.16 x_{16} & -0.03 x_{19}\\
 x_{11}   &  2.35675023782 & +  0.04 x_{31} & +  0.19 x_{22} & +  4.49 x_{1} & +  3.30 x_{4} & -0.83 x_{5} & +  1.52 x_{9} & -0.17 x_{30} & +  0.01 x_{21} & -4.28 x_{15} & +  2.70 x_{6} & -3.86 x_{3} & -0.27 x_{25} & +  0.24 x_{32} & +  0.09 x_{16} & -0.04 x_{19}\\
 x_{20}   &  57.4092809972 & -0.17 x_{31} & +  4.87 x_{22} & + 126.02 x_{1} & + 99.45 x_{4} & -73.54 x_{5} & + 50.30 x_{9} & -7.48 x_{30} & +  0.99 x_{21} & -124.43 x_{15} & + 86.92 x_{6} & -119.67 x_{3} & -7.22 x_{25} & +  9.11 x_{32} & +  3.89 x_{16} & -1.64 x_{19}\\
 x_{18}   &  6.21614200109 & +  0.01 x_{31} & +  0.39 x_{22} & +  6.10 x_{1} & -0.48 x_{4} & -13.15 x_{5} & +  4.78 x_{9} & -0.86 x_{30} & +  0.83 x_{21} & +  0.25 x_{15} & + 15.90 x_{6} & -8.91 x_{3} & -0.60 x_{25} & +  0.71 x_{32} & +  0.18 x_{16} & +  0.29 x_{19}\\
 x_{7}   &  7.06608665307 & -0.05 x_{31} & +  0.37 x_{22} & +  7.37 x_{1} & +  7.22 x_{4} & -3.29 x_{5} & +  3.21 x_{9} & -0.44 x_{30} & -0.02 x_{21} & -8.39 x_{15} & +  4.91 x_{6} & -7.39 x_{3} & -0.48 x_{25} & +  0.51 x_{32} & +  0.22 x_{16} & -0.13 x_{19}\\
 x_{8}   &  0.788229161318 & +  0.04 x_{31} & -0.19 x_{22} & -6.10 x_{1} & -5.53 x_{4} & +  2.24 x_{5} & -3.21 x_{9} & +  0.26 x_{30} & +  0.04 x_{21} & +  6.00 x_{15} & -2.94 x_{6} & +  4.39 x_{3} & +  0.39 x_{25} & -0.43 x_{32} & -0.19 x_{16} & +  0.07 x_{19}\\
 x_{24}   &  3.43644663112 & -0.13 x_{31} & -0.86 x_{22} & -18.37 x_{1} & -23.65 x_{4} & -11.79 x_{5} & -8.09 x_{9} & -0.10 x_{30} & +  0.00 x_{21} & + 10.60 x_{15} & +  0.33 x_{6} & +  8.77 x_{3} & +  1.71 x_{25} & -0.92 x_{32} & -0.06 x_{16} & -0.16 x_{19}\\
 x_{2}   &  2.07883311286 & -0.08 x_{31} & +  0.33 x_{22} & +  7.41 x_{1} & +  6.95 x_{4} & -3.21 x_{5} & +  3.13 x_{9} & -0.38 x_{30} & +  0.02 x_{21} & -7.27 x_{15} & +  4.04 x_{6} & -6.74 x_{3} & -0.48 x_{25} & +  0.48 x_{32} & +  0.24 x_{16} & -0.08 x_{19}\\
 x_{26}   &  68.9338524346 & -0.03 x_{31} & +  0.69 x_{22} & -7.57 x_{1} & -8.43 x_{4} & -16.73 x_{5} & -5.09 x_{9} & -1.87 x_{30} & +  0.77 x_{21} & -19.29 x_{15} & + 14.45 x_{6} & -26.16 x_{3} & +  0.04 x_{25} & +  0.41 x_{32} & +  0.33 x_{16} & -0.51 x_{19}\\
 x_{27}   &  13.2053246358 & -1.06 x_{31} & +  6.83 x_{22} & + 135.29 x_{1} & + 134.75 x_{4} & -62.19 x_{5} & + 66.05 x_{9} & -7.43 x_{30} & +  0.55 x_{21} & -152.45 x_{15} & + 83.59 x_{6} & -134.49 x_{3} & -8.29 x_{25} & +  8.78 x_{32} & +  4.71 x_{16} & -1.48 x_{19}\\
 x_{12}   &  1.67954746867 & -0.03 x_{31} & +  0.20 x_{22} & +  3.58 x_{1} & +  3.04 x_{4} & -2.17 x_{5} & +  1.26 x_{9} & -0.20 x_{30} & +  0.02 x_{21} & -4.52 x_{15} & +  2.56 x_{6} & -3.66 x_{3} & -0.22 x_{25} & +  0.27 x_{32} & +  0.14 x_{16} & -0.09 x_{19}\\
 x_{29}   &  39.0707455959 & +  0.70 x_{31} & +  1.80 x_{22} & + 38.62 x_{1} & + 30.69 x_{4} & -11.84 x_{5} & + 30.27 x_{9} & -2.57 x_{30} & -0.09 x_{21} & -46.73 x_{15} & + 35.44 x_{6} & -41.08 x_{3} & -2.54 x_{25} & +  2.55 x_{32} & +  0.87 x_{16} & -0.20 x_{19}\\
 x_{17}   &  60.2234340635 & -0.70 x_{31} & +  3.08 x_{22} & + 47.57 x_{1} & + 42.55 x_{4} & -40.78 x_{5} & + 16.31 x_{9} & -5.05 x_{30} & +  0.95 x_{21} & -78.77 x_{15} & + 51.33 x_{6} & -69.78 x_{3} & -3.51 x_{25} & +  4.45 x_{32} & +  2.18 x_{16} & -1.15 x_{19}\\
 x_{14}   &  6.68390041828 & -0.02 x_{31} & +  0.09 x_{22} & +  3.15 x_{1} & +  3.09 x_{4} & -3.13 x_{5} & +  0.90 x_{9} & -0.22 x_{30} & +  0.02 x_{21} & -3.70 x_{15} & +  2.26 x_{6} & -4.30 x_{3} & -0.28 x_{25} & +  0.34 x_{32} & +  0.07 x_{16} & -0.09 x_{19}\\
 x_{28}   &  60.4854715795 & -0.22 x_{31} & -0.10 x_{22} & + 37.85 x_{1} & + 28.29 x_{4} & -34.00 x_{5} & +  4.33 x_{9} & -1.35 x_{30} & -0.11 x_{21} & -18.54 x_{15} & +  2.75 x_{6} & -34.48 x_{3} & -2.62 x_{25} & +  3.21 x_{32} & +  0.33 x_{16} & -0.21 x_{19}\\
\hline
z    &  26.6035043551 & -0.32 x_{31} & -0.14 x_{22} & +  8.04 x_{1} & +  8.90 x_{4} & -20.33 x_{5} & +  3.47 x_{9} & -0.77 x_{30} & -0.09 x_{21} & -14.08 x_{15} & +  4.67 x_{6} & -15.85 x_{3} & -0.79 x_{25} & +  1.42 x_{32} & +  0.18 x_{16} & -0.38 x_{19}\\
\end{array}\]


 $ x_{1} $ enters and $ x_{8} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{23}   &  53.0687599854 & -0.62 x_{31} & +  2.02 x_{22} & -13.33 x_{8} & + 19.09 x_{4} & -1.71 x_{5} & -8.69 x_{9} & -0.30 x_{30} & -0.50 x_{21} & -10.18 x_{15} & -10.86 x_{6} & -15.23 x_{3} & -0.19 x_{25} & -0.93 x_{32} & -0.09 x_{16} & -1.23 x_{19}\\
 x_{13}   &  4.81552042587 & +  0.03 x_{31} & +  0.04 x_{22} & -0.99 x_{8} & -0.71 x_{4} & -1.00 x_{5} & -0.88 x_{9} & -0.10 x_{30} & +  0.12 x_{21} & +  0.31 x_{15} & +  2.01 x_{6} & -1.72 x_{3} & +  0.04 x_{25} & +  0.03 x_{32} & -0.00 x_{16} & +  0.04 x_{19}\\
 x_{10}   &  2.54539760081 & +  0.03 x_{31} & +  0.05 x_{22} & -0.60 x_{8} & -1.04 x_{4} & -0.60 x_{5} & -0.55 x_{9} & -0.11 x_{30} & +  0.11 x_{21} & -0.46 x_{15} & +  1.57 x_{6} & -1.21 x_{3} & +  0.05 x_{25} & -0.01 x_{32} & +  0.05 x_{16} & +  0.01 x_{19}\\
 x_{11}   &  2.93703009241 & +  0.07 x_{31} & +  0.05 x_{22} & -0.74 x_{8} & -0.77 x_{4} & +  0.81 x_{5} & -0.84 x_{9} & +  0.03 x_{30} & +  0.04 x_{21} & +  0.14 x_{15} & +  0.54 x_{6} & -0.63 x_{3} & +  0.03 x_{25} & -0.08 x_{32} & -0.05 x_{16} & +  0.00 x_{19}\\
 x_{20}   &  73.6969212198 & +  0.71 x_{31} & +  0.97 x_{22} & -20.66 x_{8} & -14.80 x_{4} & -27.30 x_{5} & -15.97 x_{9} & -2.01 x_{30} & +  1.79 x_{21} & -0.41 x_{15} & + 26.10 x_{6} & -29.02 x_{3} & +  0.92 x_{25} & +  0.26 x_{32} & -0.11 x_{16} & -0.30 x_{19}\\
 x_{18}   &  7.00395937145 & +  0.05 x_{31} & +  0.20 x_{22} & -1.00 x_{8} & -6.00 x_{4} & -10.92 x_{5} & +  1.57 x_{9} & -0.59 x_{30} & +  0.87 x_{21} & +  6.25 x_{15} & + 12.96 x_{6} & -4.52 x_{3} & -0.20 x_{25} & +  0.29 x_{32} & -0.02 x_{16} & +  0.36 x_{19}\\
 x_{7}   &  8.01830734802 & -0.00 x_{31} & +  0.14 x_{22} & -1.21 x_{8} & +  0.54 x_{4} & -0.59 x_{5} & -0.67 x_{9} & -0.12 x_{30} & +  0.03 x_{21} & -1.14 x_{15} & +  1.36 x_{6} & -2.09 x_{3} & -0.01 x_{25} & -0.01 x_{32} & -0.01 x_{16} & -0.05 x_{19}\\
 x_{1}   &  0.129249288598 & +  0.01 x_{31} & -0.03 x_{22} & -0.16 x_{8} & -0.91 x_{4} & +  0.37 x_{5} & -0.53 x_{9} & +  0.04 x_{30} & +  0.01 x_{21} & +  0.98 x_{15} & -0.48 x_{6} & +  0.72 x_{3} & +  0.06 x_{25} & -0.07 x_{32} & -0.03 x_{16} & +  0.01 x_{19}\\
 x_{24}   &  1.06205869697 & -0.26 x_{31} & -0.29 x_{22} & +  3.01 x_{8} & -6.99 x_{4} & -18.53 x_{5} & +  1.57 x_{9} & -0.90 x_{30} & -0.11 x_{21} & -7.47 x_{15} & +  9.20 x_{6} & -4.44 x_{3} & +  0.53 x_{25} & +  0.37 x_{32} & +  0.52 x_{16} & -0.36 x_{19}\\
 x_{2}   &  3.03677461984 & -0.03 x_{31} & +  0.10 x_{22} & -1.22 x_{8} & +  0.23 x_{4} & -0.49 x_{5} & -0.77 x_{9} & -0.05 x_{30} & +  0.07 x_{21} & +  0.02 x_{15} & +  0.47 x_{6} & -1.40 x_{3} & +  0.00 x_{25} & -0.04 x_{32} & +  0.00 x_{16} & -0.00 x_{19}\\
 x_{26}   &  67.9552010035 & -0.08 x_{31} & +  0.93 x_{22} & +  1.24 x_{8} & -1.56 x_{4} & -19.51 x_{5} & -1.11 x_{9} & -2.20 x_{30} & +  0.73 x_{21} & -26.74 x_{15} & + 18.11 x_{6} & -31.60 x_{3} & -0.45 x_{25} & +  0.94 x_{32} & +  0.57 x_{16} & -0.59 x_{19}\\
 x_{27}   &  30.691125274 & -0.12 x_{31} & +  2.65 x_{22} & -22.18 x_{8} & + 12.09 x_{4} & -12.54 x_{5} & -5.10 x_{9} & -1.56 x_{30} & +  1.41 x_{21} & -19.31 x_{15} & + 18.29 x_{6} & -37.18 x_{3} & +  0.45 x_{25} & -0.72 x_{32} & +  0.41 x_{16} & -0.04 x_{19}\\
 x_{12}   &  2.14259690612 & -0.01 x_{31} & +  0.08 x_{22} & -0.59 x_{8} & -0.20 x_{4} & -0.86 x_{5} & -0.62 x_{9} & -0.05 x_{30} & +  0.04 x_{21} & -0.99 x_{15} & +  0.83 x_{6} & -1.08 x_{3} & +  0.01 x_{25} & +  0.01 x_{32} & +  0.02 x_{16} & -0.05 x_{19}\\
 x_{29}   &  44.061870467 & +  0.97 x_{31} & +  0.61 x_{22} & -6.33 x_{8} & -4.33 x_{4} & +  2.33 x_{5} & +  9.97 x_{9} & -0.89 x_{30} & +  0.16 x_{21} & -8.72 x_{15} & + 16.80 x_{6} & -13.30 x_{3} & -0.05 x_{25} & -0.16 x_{32} & -0.36 x_{16} & +  0.21 x_{19}\\
 x_{17}   &  66.3715844846 & -0.37 x_{31} & +  1.61 x_{22} & -7.80 x_{8} & -0.58 x_{4} & -23.33 x_{5} & -8.71 x_{9} & -2.98 x_{30} & +  1.25 x_{21} & -31.96 x_{15} & + 28.37 x_{6} & -35.56 x_{3} & -0.43 x_{25} & +  1.10 x_{32} & +  0.67 x_{16} & -0.64 x_{19}\\
 x_{14}   &  7.09055453933 & +  0.00 x_{31} & -0.01 x_{22} & -0.52 x_{8} & +  0.24 x_{4} & -1.98 x_{5} & -0.75 x_{9} & -0.08 x_{30} & +  0.04 x_{21} & -0.60 x_{15} & +  0.74 x_{6} & -2.04 x_{3} & -0.08 x_{25} & +  0.12 x_{32} & -0.03 x_{16} & -0.05 x_{19}\\
 x_{28}   &  65.3772160869 & +  0.04 x_{31} & -1.27 x_{22} & -6.21 x_{8} & -6.02 x_{4} & -20.11 x_{5} & -15.57 x_{9} & +  0.29 x_{30} & +  0.13 x_{21} & + 18.71 x_{15} & -15.51 x_{6} & -7.26 x_{3} & -0.18 x_{25} & +  0.55 x_{32} & -0.87 x_{16} & +  0.19 x_{19}\\
\hline
z    &  27.6420972285 & -0.26 x_{31} & -0.39 x_{22} & -1.32 x_{8} & +  1.61 x_{4} & -17.38 x_{5} & -0.76 x_{9} & -0.42 x_{30} & -0.04 x_{21} & -6.17 x_{15} & +  0.80 x_{6} & -10.07 x_{3} & -0.27 x_{25} & +  0.86 x_{32} & -0.07 x_{16} & -0.30 x_{19}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{1} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{23}   &  55.7896125508 & -0.48 x_{31} & +  1.37 x_{22} & -16.79 x_{8} & -21.05 x_{1} & +  6.01 x_{5} & -19.76 x_{9} & +  0.61 x_{30} & -0.36 x_{21} & + 10.54 x_{15} & -21.02 x_{6} & -0.09 x_{3} & +  1.17 x_{25} & -2.41 x_{32} & -0.75 x_{16} & -1.01 x_{19}\\
 x_{13}   &  4.71393625216 & +  0.02 x_{31} & +  0.06 x_{22} & -0.86 x_{8} & +  0.79 x_{1} & -1.29 x_{5} & -0.47 x_{9} & -0.14 x_{30} & +  0.12 x_{21} & -0.47 x_{15} & +  2.39 x_{6} & -2.29 x_{3} & -0.01 x_{25} & +  0.09 x_{32} & +  0.02 x_{16} & +  0.04 x_{19}\\
 x_{10}   &  2.39730389066 & +  0.02 x_{31} & +  0.08 x_{22} & -0.41 x_{8} & +  1.15 x_{1} & -1.02 x_{5} & +  0.05 x_{9} & -0.16 x_{30} & +  0.11 x_{21} & -1.59 x_{15} & +  2.12 x_{6} & -2.03 x_{3} & -0.03 x_{25} & +  0.07 x_{32} & +  0.08 x_{16} & -0.00 x_{19}\\
 x_{11}   &  2.82757639967 & +  0.07 x_{31} & +  0.08 x_{22} & -0.60 x_{8} & +  0.85 x_{1} & +  0.50 x_{5} & -0.40 x_{9} & -0.01 x_{30} & +  0.03 x_{21} & -0.70 x_{15} & +  0.95 x_{6} & -1.24 x_{3} & -0.03 x_{25} & -0.02 x_{32} & -0.03 x_{16} & -0.01 x_{19}\\
 x_{20}   &  71.5865385072 & +  0.59 x_{31} & +  1.48 x_{22} & -17.99 x_{8} & + 16.33 x_{1} & -33.29 x_{5} & -7.39 x_{9} & -2.72 x_{30} & +  1.69 x_{21} & -16.48 x_{15} & + 33.98 x_{6} & -40.77 x_{3} & -0.13 x_{25} & +  1.41 x_{32} & +  0.40 x_{16} & -0.47 x_{19}\\
 x_{18}   &  6.14822867925 & +  0.01 x_{31} & +  0.40 x_{22} & +  0.09 x_{8} & +  6.62 x_{1} & -13.35 x_{5} & +  5.05 x_{9} & -0.88 x_{30} & +  0.83 x_{21} & -0.26 x_{15} & + 16.15 x_{6} & -9.29 x_{3} & -0.63 x_{25} & +  0.75 x_{32} & +  0.19 x_{16} & +  0.29 x_{19}\\
 x_{7}   &  8.09520567065 & +  0.00 x_{31} & +  0.12 x_{22} & -1.31 x_{8} & -0.59 x_{1} & -0.37 x_{5} & -0.98 x_{9} & -0.10 x_{30} & +  0.03 x_{21} & -0.55 x_{15} & +  1.07 x_{6} & -1.66 x_{3} & +  0.03 x_{25} & -0.05 x_{32} & -0.03 x_{16} & -0.04 x_{19}\\
 x_{4}   &  0.142556046534 & +  0.01 x_{31} & -0.03 x_{22} & -0.18 x_{8} & -1.10 x_{1} & +  0.40 x_{5} & -0.58 x_{9} & +  0.05 x_{30} & +  0.01 x_{21} & +  1.09 x_{15} & -0.53 x_{6} & +  0.79 x_{3} & +  0.07 x_{25} & -0.08 x_{32} & -0.04 x_{16} & +  0.01 x_{19}\\
 x_{24}   &  0.0653547460606 & -0.31 x_{31} & -0.05 x_{22} & +  4.28 x_{8} & +  7.71 x_{1} & -21.36 x_{5} & +  5.63 x_{9} & -1.24 x_{30} & -0.16 x_{21} & -15.06 x_{15} & + 12.92 x_{6} & -9.99 x_{3} & +  0.03 x_{25} & +  0.91 x_{32} & +  0.77 x_{16} & -0.44 x_{19}\\
 x_{2}   &  3.06894087799 & -0.03 x_{31} & +  0.09 x_{22} & -1.26 x_{8} & -0.25 x_{1} & -0.39 x_{5} & -0.90 x_{9} & -0.04 x_{30} & +  0.07 x_{21} & +  0.26 x_{15} & +  0.35 x_{6} & -1.23 x_{3} & +  0.02 x_{25} & -0.06 x_{32} & -0.01 x_{16} & -0.00 x_{19}\\
 x_{26}   &  67.7326112274 & -0.09 x_{31} & +  0.98 x_{22} & +  1.52 x_{8} & +  1.72 x_{1} & -20.14 x_{5} & -0.21 x_{9} & -2.27 x_{30} & +  0.71 x_{21} & -28.44 x_{15} & + 18.94 x_{6} & -32.84 x_{3} & -0.56 x_{25} & +  1.06 x_{32} & +  0.62 x_{16} & -0.61 x_{19}\\
 x_{27}   &  32.4141275702 & -0.02 x_{31} & +  2.24 x_{22} & -24.37 x_{8} & -13.33 x_{1} & -7.65 x_{5} & -12.11 x_{9} & -0.98 x_{30} & +  1.49 x_{21} & -6.19 x_{15} & + 11.86 x_{6} & -27.59 x_{3} & +  1.31 x_{25} & -1.66 x_{32} & -0.01 x_{16} & +  0.10 x_{19}\\
 x_{12}   &  2.11350215644 & -0.01 x_{31} & +  0.09 x_{22} & -0.55 x_{8} & +  0.23 x_{1} & -0.94 x_{5} & -0.50 x_{9} & -0.06 x_{30} & +  0.04 x_{21} & -1.21 x_{15} & +  0.94 x_{6} & -1.24 x_{3} & -0.00 x_{25} & +  0.03 x_{32} & +  0.03 x_{16} & -0.05 x_{19}\\
 x_{29}   &  43.445256807 & +  0.94 x_{31} & +  0.75 x_{22} & -5.55 x_{8} & +  4.77 x_{1} & +  0.58 x_{5} & + 12.48 x_{9} & -1.10 x_{30} & +  0.13 x_{21} & -13.42 x_{15} & + 19.10 x_{6} & -16.73 x_{3} & -0.36 x_{25} & +  0.18 x_{32} & -0.21 x_{16} & +  0.16 x_{19}\\
 x_{17}   &  66.2889518109 & -0.38 x_{31} & +  1.63 x_{22} & -7.70 x_{8} & +  0.64 x_{1} & -23.56 x_{5} & -8.37 x_{9} & -3.01 x_{30} & +  1.25 x_{21} & -32.59 x_{15} & + 28.68 x_{6} & -36.02 x_{3} & -0.47 x_{25} & +  1.15 x_{32} & +  0.69 x_{16} & -0.64 x_{19}\\
 x_{14}   &  7.12446001464 & +  0.01 x_{31} & -0.01 x_{22} & -0.56 x_{8} & -0.26 x_{1} & -1.88 x_{5} & -0.89 x_{9} & -0.07 x_{30} & +  0.04 x_{21} & -0.35 x_{15} & +  0.62 x_{6} & -1.85 x_{3} & -0.06 x_{25} & +  0.10 x_{32} & -0.04 x_{16} & -0.05 x_{19}\\
 x_{28}   &  64.518848059 & -0.01 x_{31} & -1.07 x_{22} & -5.12 x_{8} & +  6.64 x_{1} & -22.55 x_{5} & -12.08 x_{9} & -0.00 x_{30} & +  0.09 x_{21} & + 12.17 x_{15} & -12.31 x_{6} & -12.03 x_{3} & -0.61 x_{25} & +  1.02 x_{32} & -0.66 x_{16} & +  0.12 x_{19}\\
\hline
z    &  27.8718765075 & -0.25 x_{31} & -0.44 x_{22} & -1.61 x_{8} & -1.78 x_{1} & -16.73 x_{5} & -1.69 x_{9} & -0.35 x_{30} & -0.03 x_{21} & -4.42 x_{15} & -0.06 x_{6} & -8.79 x_{3} & -0.15 x_{25} & +  0.73 x_{32} & -0.13 x_{16} & -0.28 x_{19}\\
\end{array}\]


 $ x_{32} $ enters and $ x_{4} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{23}   &  51.3576600785 & -0.72 x_{31} & +  2.43 x_{22} & -11.16 x_{8} & + 13.24 x_{1} & -6.57 x_{5} & -1.73 x_{9} & -0.88 x_{30} & -0.58 x_{21} & -23.21 x_{15} & -4.47 x_{6} & -24.75 x_{3} & -1.05 x_{25} & + 31.09 x_{4} & +  0.34 x_{16} & -1.37 x_{19}\\
 x_{13}   &  4.87592668664 & +  0.03 x_{31} & +  0.02 x_{22} & -1.07 x_{8} & -0.47 x_{1} & -0.83 x_{5} & -1.13 x_{9} & -0.08 x_{30} & +  0.12 x_{21} & +  0.77 x_{15} & +  1.79 x_{6} & -1.39 x_{3} & +  0.07 x_{25} & -1.14 x_{4} & -0.02 x_{16} & +  0.05 x_{19}\\
 x_{10}   &  2.52798636327 & +  0.03 x_{31} & +  0.05 x_{22} & -0.57 x_{8} & +  0.13 x_{1} & -0.65 x_{5} & -0.48 x_{9} & -0.11 x_{30} & +  0.11 x_{21} & -0.59 x_{15} & +  1.63 x_{6} & -1.31 x_{3} & +  0.04 x_{25} & -0.92 x_{4} & +  0.05 x_{16} & +  0.01 x_{19}\\
 x_{11}   &  2.79118058882 & +  0.06 x_{31} & +  0.08 x_{22} & -0.55 x_{8} & +  1.13 x_{1} & +  0.40 x_{5} & -0.25 x_{9} & -0.02 x_{30} & +  0.03 x_{21} & -0.97 x_{15} & +  1.08 x_{6} & -1.44 x_{3} & -0.05 x_{25} & +  0.26 x_{4} & -0.02 x_{16} & -0.01 x_{19}\\
 x_{20}   &  74.1728621204 & +  0.73 x_{31} & +  0.86 x_{22} & -21.27 x_{8} & -3.68 x_{1} & -25.95 x_{5} & -17.91 x_{9} & -1.85 x_{30} & +  1.82 x_{21} & +  3.21 x_{15} & + 24.32 x_{6} & -26.38 x_{3} & +  1.16 x_{25} & -18.14 x_{4} & -0.23 x_{16} & -0.26 x_{19}\\
 x_{18}   &  7.53036971881 & +  0.08 x_{31} & +  0.07 x_{22} & -1.67 x_{8} & -4.07 x_{1} & -9.42 x_{5} & -0.57 x_{9} & -0.42 x_{30} & +  0.90 x_{21} & + 10.26 x_{15} & + 10.99 x_{6} & -1.59 x_{3} & +  0.06 x_{25} & -9.70 x_{4} & -0.15 x_{16} & +  0.40 x_{19}\\
 x_{7}   &  7.99764950165 & -0.00 x_{31} & +  0.14 x_{22} & -1.18 x_{8} & +  0.16 x_{1} & -0.65 x_{5} & -0.58 x_{9} & -0.13 x_{30} & +  0.03 x_{21} & -1.30 x_{15} & +  1.43 x_{6} & -2.20 x_{3} & -0.02 x_{25} & +  0.68 x_{4} & -0.01 x_{16} & -0.05 x_{19}\\
 x_{32}   &  1.84062597078 & +  0.10 x_{31} & -0.44 x_{22} & -2.34 x_{8} & -14.24 x_{1} & +  5.23 x_{5} & -7.49 x_{9} & +  0.62 x_{30} & +  0.09 x_{21} & + 14.01 x_{15} & -6.87 x_{6} & + 10.24 x_{3} & +  0.92 x_{25} & -12.91 x_{4} & -0.45 x_{16} & +  0.15 x_{19}\\
 x_{24}   &  1.7403436834 & -0.22 x_{31} & -0.45 x_{22} & +  2.15 x_{8} & -5.25 x_{1} & -16.61 x_{5} & -1.19 x_{9} & -0.67 x_{30} & -0.08 x_{21} & -2.31 x_{15} & +  6.67 x_{6} & -0.67 x_{3} & +  0.86 x_{25} & -11.75 x_{4} & +  0.35 x_{16} & -0.30 x_{19}\\
 x_{2}   &  2.95671911111 & -0.03 x_{31} & +  0.12 x_{22} & -1.11 x_{8} & +  0.62 x_{1} & -0.71 x_{5} & -0.44 x_{9} & -0.08 x_{30} & +  0.07 x_{21} & -0.59 x_{15} & +  0.77 x_{6} & -1.85 x_{3} & -0.04 x_{25} & +  0.79 x_{4} & +  0.02 x_{16} & -0.01 x_{19}\\
 x_{26}   &  69.6892698079 & +  0.01 x_{31} & +  0.51 x_{22} & -0.96 x_{8} & -13.42 x_{1} & -14.59 x_{5} & -8.17 x_{9} & -1.62 x_{30} & +  0.81 x_{21} & -13.54 x_{15} & + 11.63 x_{6} & -21.95 x_{3} & +  0.41 x_{25} & -13.73 x_{4} & +  0.14 x_{16} & -0.45 x_{19}\\
 x_{27}   &  29.3601640527 & -0.19 x_{31} & +  2.97 x_{22} & -20.50 x_{8} & + 10.30 x_{1} & -16.32 x_{5} & +  0.32 x_{9} & -2.01 x_{30} & +  1.34 x_{21} & -29.45 x_{15} & + 23.26 x_{6} & -44.58 x_{3} & -0.22 x_{25} & + 21.42 x_{4} & +  0.74 x_{16} & -0.15 x_{19}\\
 x_{12}   &  2.16751194523 & -0.00 x_{31} & +  0.08 x_{22} & -0.62 x_{8} & -0.19 x_{1} & -0.79 x_{5} & -0.72 x_{9} & -0.04 x_{30} & +  0.04 x_{21} & -0.80 x_{15} & +  0.74 x_{6} & -0.94 x_{3} & +  0.03 x_{25} & -0.38 x_{4} & +  0.02 x_{16} & -0.05 x_{19}\\
 x_{29}   &  43.7694217305 & +  0.95 x_{31} & +  0.68 x_{22} & -5.96 x_{8} & +  2.26 x_{1} & +  1.50 x_{5} & + 11.16 x_{9} & -0.99 x_{30} & +  0.14 x_{21} & -10.95 x_{15} & + 17.89 x_{6} & -14.93 x_{3} & -0.19 x_{25} & -2.27 x_{4} & -0.29 x_{16} & +  0.18 x_{19}\\
 x_{17}   &  68.4052091311 & -0.26 x_{31} & +  1.12 x_{22} & -10.38 x_{8} & -15.73 x_{1} & -17.56 x_{5} & -16.98 x_{9} & -2.30 x_{30} & +  1.35 x_{21} & -16.48 x_{15} & + 20.78 x_{6} & -24.24 x_{3} & +  0.58 x_{25} & -14.85 x_{4} & +  0.17 x_{16} & -0.47 x_{19}\\
 x_{14}   &  7.31508881968 & +  0.02 x_{31} & -0.06 x_{22} & -0.80 x_{8} & -1.74 x_{1} & -1.34 x_{5} & -1.67 x_{9} & -0.01 x_{30} & +  0.05 x_{21} & +  1.11 x_{15} & -0.10 x_{6} & -0.79 x_{3} & +  0.03 x_{25} & -1.34 x_{4} & -0.09 x_{16} & -0.04 x_{19}\\
 x_{28}   &  66.3950790166 & +  0.10 x_{31} & -1.52 x_{22} & -7.50 x_{8} & -7.88 x_{1} & -17.22 x_{5} & -19.71 x_{9} & +  0.63 x_{30} & +  0.18 x_{21} & + 26.46 x_{15} & -19.31 x_{6} & -1.59 x_{3} & +  0.33 x_{25} & -13.16 x_{4} & -1.12 x_{16} & +  0.27 x_{19}\\
\hline
z    &  29.2192047023 & -0.18 x_{31} & -0.76 x_{22} & -3.32 x_{8} & -12.20 x_{1} & -12.90 x_{5} & -7.18 x_{9} & +  0.11 x_{30} & +  0.04 x_{21} & +  5.84 x_{15} & -5.09 x_{6} & -1.29 x_{3} & +  0.52 x_{25} & -9.45 x_{4} & -0.46 x_{16} & -0.17 x_{19}\\
\end{array}\]


 $ x_{15} $ enters and $ x_{24} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{23}   &  33.8731915213 & +  1.49 x_{31} & +  6.96 x_{22} & -32.78 x_{8} & + 65.96 x_{1} & + 160.29 x_{5} & + 10.18 x_{9} & +  5.89 x_{30} & +  0.23 x_{21} & + 10.05 x_{24} & -71.43 x_{6} & -18.06 x_{3} & -9.74 x_{25} & + 149.13 x_{4} & -3.22 x_{16} & +  1.68 x_{19}\\
 x_{13}   &  5.45387201697 & -0.04 x_{31} & -0.13 x_{22} & -0.36 x_{8} & -2.21 x_{1} & -6.34 x_{5} & -1.52 x_{9} & -0.30 x_{30} & +  0.10 x_{21} & -0.33 x_{24} & +  4.00 x_{6} & -1.61 x_{3} & +  0.36 x_{25} & -5.04 x_{4} & +  0.10 x_{16} & -0.05 x_{19}\\
 x_{10}   &  2.08145946818 & +  0.09 x_{31} & +  0.17 x_{22} & -1.13 x_{8} & +  1.48 x_{1} & +  3.61 x_{5} & -0.17 x_{9} & +  0.06 x_{30} & +  0.13 x_{21} & +  0.26 x_{24} & -0.08 x_{6} & -1.14 x_{3} & -0.19 x_{25} & +  2.10 x_{4} & -0.04 x_{16} & +  0.09 x_{19}\\
 x_{11}   &  2.05704228127 & +  0.16 x_{31} & +  0.27 x_{22} & -1.46 x_{8} & +  3.34 x_{1} & +  7.41 x_{5} & +  0.25 x_{9} & +  0.26 x_{30} & +  0.06 x_{21} & +  0.42 x_{24} & -1.73 x_{6} & -1.16 x_{3} & -0.41 x_{25} & +  5.21 x_{4} & -0.17 x_{16} & +  0.12 x_{19}\\
 x_{20}   &  76.5949449916 & +  0.43 x_{31} & +  0.23 x_{22} & -18.27 x_{8} & -10.99 x_{1} & -49.06 x_{5} & -19.56 x_{9} & -2.78 x_{30} & +  1.71 x_{21} & -1.39 x_{24} & + 33.60 x_{6} & -27.30 x_{3} & +  2.37 x_{25} & -34.49 x_{4} & +  0.26 x_{16} & -0.68 x_{19}\\
 x_{18}   &  15.261823818 & -0.89 x_{31} & -1.93 x_{22} & +  7.89 x_{8} & -27.39 x_{1} & -83.21 x_{5} & -5.84 x_{9} & -3.41 x_{30} & +  0.54 x_{21} & -4.44 x_{24} & + 40.60 x_{6} & -4.55 x_{3} & +  3.90 x_{25} & -61.89 x_{4} & +  1.42 x_{16} & -0.95 x_{19}\\
 x_{7}   &  7.01989175668 & +  0.12 x_{31} & +  0.40 x_{22} & -2.39 x_{8} & +  3.11 x_{1} & +  8.68 x_{5} & +  0.08 x_{9} & +  0.25 x_{30} & +  0.07 x_{21} & +  0.56 x_{24} & -2.31 x_{6} & -1.83 x_{3} & -0.50 x_{25} & +  7.29 x_{4} & -0.21 x_{16} & +  0.12 x_{19}\\
 x_{32}   &  12.3998769039 & -1.23 x_{31} & -3.18 x_{22} & + 10.72 x_{8} & -46.08 x_{1} & -95.55 x_{5} & -14.68 x_{9} & -3.47 x_{30} & -0.40 x_{21} & -6.07 x_{24} & + 33.57 x_{6} & +  6.20 x_{3} & +  6.17 x_{25} & -84.20 x_{4} & +  1.69 x_{16} & -1.69 x_{19}\\
 x_{15}   &  0.7534391176 & -0.09 x_{31} & -0.20 x_{22} & +  0.93 x_{8} & -2.27 x_{1} & -7.19 x_{5} & -0.51 x_{9} & -0.29 x_{30} & -0.04 x_{21} & -0.43 x_{24} & +  2.89 x_{6} & -0.29 x_{3} & +  0.37 x_{25} & -5.09 x_{4} & +  0.15 x_{16} & -0.13 x_{19}\\
 x_{2}   &  2.51199414508 & +  0.02 x_{31} & +  0.23 x_{22} & -1.66 x_{8} & +  1.96 x_{1} & +  3.53 x_{5} & -0.14 x_{9} & +  0.09 x_{30} & +  0.09 x_{21} & +  0.26 x_{24} & -0.94 x_{6} & -1.68 x_{3} & -0.26 x_{25} & +  3.79 x_{4} & -0.07 x_{16} & +  0.07 x_{19}\\
 x_{26}   &  59.4895773474 & +  1.30 x_{31} & +  3.16 x_{22} & -13.57 x_{8} & + 17.34 x_{1} & + 82.75 x_{5} & -1.22 x_{9} & +  2.33 x_{30} & +  1.28 x_{21} & +  5.86 x_{24} & -27.43 x_{6} & -18.05 x_{3} & -4.65 x_{25} & + 55.14 x_{4} & -1.93 x_{16} & +  1.34 x_{19}\\
 x_{27}   &  7.17310346356 & +  2.61 x_{31} & +  8.73 x_{22} & -47.93 x_{8} & + 77.20 x_{1} & + 195.42 x_{5} & + 15.43 x_{9} & +  6.59 x_{30} & +  2.37 x_{21} & + 12.75 x_{24} & -61.71 x_{6} & -36.09 x_{3} & -11.24 x_{25} & + 171.22 x_{4} & -3.77 x_{16} & +  3.73 x_{19}\\
 x_{12}   &  1.56504734798 & +  0.07 x_{31} & +  0.23 x_{22} & -1.36 x_{8} & +  1.62 x_{1} & +  4.96 x_{5} & -0.31 x_{9} & +  0.20 x_{30} & +  0.07 x_{21} & +  0.35 x_{24} & -1.57 x_{6} & -0.71 x_{3} & -0.27 x_{25} & +  3.69 x_{4} & -0.10 x_{16} & +  0.06 x_{19}\\
 x_{29}   &  35.519021278 & +  1.99 x_{31} & +  2.82 x_{22} & -16.16 x_{8} & + 27.14 x_{1} & + 80.24 x_{5} & + 16.78 x_{9} & +  2.21 x_{30} & +  0.53 x_{21} & +  4.74 x_{24} & -13.70 x_{6} & -11.77 x_{3} & -4.29 x_{25} & + 53.43 x_{4} & -1.96 x_{16} & +  1.63 x_{19}\\
 x_{17}   &  55.9910971751 & +  1.30 x_{31} & +  4.34 x_{22} & -25.73 x_{8} & + 21.70 x_{1} & + 100.92 x_{5} & -8.53 x_{9} & +  2.51 x_{30} & +  1.93 x_{21} & +  7.13 x_{24} & -26.77 x_{6} & -19.49 x_{3} & -5.59 x_{25} & + 68.97 x_{4} & -2.35 x_{16} & +  1.70 x_{19}\\
 x_{14}   &  8.14770821967 & -0.09 x_{31} & -0.28 x_{22} & +  0.23 x_{8} & -4.25 x_{1} & -9.29 x_{5} & -2.23 x_{9} & -0.33 x_{30} & +  0.01 x_{21} & -0.48 x_{24} & +  3.09 x_{6} & -1.11 x_{3} & +  0.45 x_{25} & -6.96 x_{4} & +  0.08 x_{16} & -0.18 x_{19}\\
 x_{28}   &  86.3308949132 & -2.42 x_{31} & -6.69 x_{22} & + 17.15 x_{8} & -67.99 x_{1} & -207.48 x_{5} & -33.29 x_{9} & -7.09 x_{30} & -0.74 x_{21} & -11.46 x_{24} & + 57.04 x_{6} & -9.22 x_{3} & + 10.24 x_{25} & -147.76 x_{4} & +  2.93 x_{16} & -3.21 x_{19}\\
\hline
z    &  33.6194974673 & -0.73 x_{31} & -1.91 x_{22} & +  2.12 x_{8} & -25.47 x_{1} & -54.90 x_{5} & -10.17 x_{9} & -1.60 x_{30} & -0.17 x_{21} & -2.53 x_{24} & + 11.76 x_{6} & -2.98 x_{3} & +  2.71 x_{25} & -39.16 x_{4} & +  0.44 x_{16} & -0.94 x_{19}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{27} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{23}   &  25.5704936241 & -1.53 x_{31} & -3.14 x_{22} & + 22.69 x_{8} & -23.40 x_{1} & -65.90 x_{5} & -7.68 x_{9} & -1.73 x_{30} & -2.52 x_{21} & -4.71 x_{24} & +  1.16 x_{27} & + 23.71 x_{3} & +  3.28 x_{25} & -49.05 x_{4} & +  1.14 x_{16} & -2.63 x_{19}\\
 x_{13}   &  5.91868925819 & +  0.13 x_{31} & +  0.44 x_{22} & -3.46 x_{8} & +  2.79 x_{1} & +  6.32 x_{5} & -0.52 x_{9} & +  0.12 x_{30} & +  0.25 x_{21} & +  0.49 x_{24} & -0.06 x_{27} & -3.95 x_{3} & -0.37 x_{25} & +  6.06 x_{4} & -0.15 x_{16} & +  0.19 x_{19}\\
 x_{10}   &  2.07242173674 & +  0.08 x_{31} & +  0.15 x_{22} & -1.06 x_{8} & +  1.38 x_{1} & +  3.36 x_{5} & -0.19 x_{9} & +  0.05 x_{30} & +  0.13 x_{21} & +  0.24 x_{24} & +  0.00 x_{27} & -1.09 x_{3} & -0.17 x_{25} & +  1.88 x_{4} & -0.04 x_{16} & +  0.08 x_{19}\\
 x_{11}   &  1.85606604909 & +  0.08 x_{31} & +  0.03 x_{22} & -0.12 x_{8} & +  1.18 x_{1} & +  1.93 x_{5} & -0.18 x_{9} & +  0.08 x_{30} & -0.00 x_{21} & +  0.06 x_{24} & +  0.03 x_{27} & -0.15 x_{3} & -0.10 x_{25} & +  0.41 x_{4} & -0.06 x_{16} & +  0.02 x_{19}\\
 x_{20}   &  80.5001624487 & +  1.85 x_{31} & +  4.98 x_{22} & -44.37 x_{8} & + 31.04 x_{1} & + 57.33 x_{5} & -11.16 x_{9} & +  0.80 x_{30} & +  3.00 x_{21} & +  5.55 x_{24} & -0.54 x_{27} & -46.95 x_{3} & -3.75 x_{25} & + 58.72 x_{4} & -1.79 x_{16} & +  1.35 x_{19}\\
 x_{18}   &  19.9810354608 & +  0.82 x_{31} & +  3.81 x_{22} & -23.64 x_{8} & + 23.40 x_{1} & + 45.36 x_{5} & +  4.32 x_{9} & +  0.92 x_{30} & +  2.10 x_{21} & +  3.94 x_{24} & -0.66 x_{27} & -28.30 x_{3} & -3.49 x_{25} & + 50.75 x_{4} & -1.06 x_{16} & +  1.50 x_{19}\\
 x_{7}   &  6.75131978453 & +  0.02 x_{31} & +  0.07 x_{22} & -0.60 x_{8} & +  0.22 x_{1} & +  1.37 x_{5} & -0.50 x_{9} & +  0.00 x_{30} & -0.02 x_{21} & +  0.08 x_{24} & +  0.04 x_{27} & -0.48 x_{3} & -0.08 x_{25} & +  0.87 x_{4} & -0.07 x_{16} & -0.02 x_{19}\\
 x_{32}   &  16.3016709978 & +  0.19 x_{31} & +  1.57 x_{22} & -15.35 x_{8} & -4.09 x_{1} & + 10.75 x_{5} & -6.29 x_{9} & +  0.11 x_{30} & +  0.89 x_{21} & +  0.87 x_{24} & -0.54 x_{27} & -13.43 x_{3} & +  0.05 x_{25} & +  8.93 x_{4} & -0.36 x_{16} & +  0.34 x_{19}\\
 x_{15}   &  1.08885128999 & +  0.03 x_{31} & +  0.21 x_{22} & -1.31 x_{8} & +  1.34 x_{1} & +  1.95 x_{5} & +  0.21 x_{9} & +  0.02 x_{30} & +  0.08 x_{21} & +  0.16 x_{24} & -0.05 x_{27} & -1.98 x_{3} & -0.15 x_{25} & +  2.92 x_{4} & -0.02 x_{16} & +  0.04 x_{19}\\
 x_{2}   &  2.40293674135 & -0.02 x_{31} & +  0.10 x_{22} & -0.93 x_{8} & +  0.79 x_{1} & +  0.56 x_{5} & -0.37 x_{9} & -0.01 x_{30} & +  0.05 x_{21} & +  0.06 x_{24} & +  0.02 x_{27} & -1.13 x_{3} & -0.09 x_{25} & +  1.19 x_{4} & -0.01 x_{16} & +  0.01 x_{19}\\
 x_{26}   &  56.3011733537 & +  0.14 x_{31} & -0.72 x_{22} & +  7.73 x_{8} & -16.98 x_{1} & -4.11 x_{5} & -8.08 x_{9} & -0.59 x_{30} & +  0.23 x_{21} & +  0.19 x_{24} & +  0.44 x_{27} & -2.01 x_{3} & +  0.34 x_{25} & -20.97 x_{4} & -0.25 x_{16} & -0.32 x_{19}\\
 x_{6}   &  0.116236562969 & +  0.04 x_{31} & +  0.14 x_{22} & -0.78 x_{8} & +  1.25 x_{1} & +  3.17 x_{5} & +  0.25 x_{9} & +  0.11 x_{30} & +  0.04 x_{21} & +  0.21 x_{24} & -0.02 x_{27} & -0.58 x_{3} & -0.18 x_{25} & +  2.77 x_{4} & -0.06 x_{16} & +  0.06 x_{19}\\
 x_{12}   &  1.38297375281 & +  0.00 x_{31} & +  0.01 x_{22} & -0.15 x_{8} & -0.34 x_{1} & +  0.00 x_{5} & -0.70 x_{9} & +  0.03 x_{30} & +  0.01 x_{21} & +  0.02 x_{24} & +  0.03 x_{27} & +  0.21 x_{3} & +  0.01 x_{25} & -0.66 x_{4} & -0.01 x_{16} & -0.04 x_{19}\\
 x_{29}   &  33.9260159222 & +  1.41 x_{31} & +  0.88 x_{22} & -5.52 x_{8} & + 10.00 x_{1} & + 36.84 x_{5} & + 13.35 x_{9} & +  0.74 x_{30} & -0.00 x_{21} & +  1.91 x_{24} & +  0.22 x_{27} & -3.75 x_{3} & -1.80 x_{25} & + 15.40 x_{4} & -1.13 x_{16} & +  0.80 x_{19}\\
 x_{17}   &  52.8799007875 & +  0.17 x_{31} & +  0.56 x_{22} & -4.94 x_{8} & -11.78 x_{1} & + 16.16 x_{5} & -15.22 x_{9} & -0.35 x_{30} & +  0.90 x_{21} & +  1.60 x_{24} & +  0.43 x_{27} & -3.83 x_{3} & -0.71 x_{25} & -5.29 x_{4} & -0.72 x_{16} & +  0.08 x_{19}\\
 x_{14}   &  8.50726221858 & +  0.04 x_{31} & +  0.16 x_{22} & -2.17 x_{8} & -0.38 x_{1} & +  0.51 x_{5} & -1.46 x_{9} & +  0.00 x_{30} & +  0.13 x_{21} & +  0.16 x_{24} & -0.05 x_{27} & -2.92 x_{3} & -0.12 x_{25} & +  1.62 x_{4} & -0.11 x_{16} & +  0.01 x_{19}\\
 x_{28}   &  92.9608358251 & -0.01 x_{31} & +  1.38 x_{22} & -27.15 x_{8} & +  3.37 x_{1} & -26.86 x_{5} & -19.03 x_{9} & -1.00 x_{30} & +  1.45 x_{21} & +  0.33 x_{24} & -0.92 x_{27} & -42.58 x_{3} & -0.15 x_{25} & + 10.50 x_{4} & -0.55 x_{16} & +  0.24 x_{19}\\
\hline
z    &  34.9864119736 & -0.23 x_{31} & -0.24 x_{22} & -7.01 x_{8} & -10.76 x_{1} & -17.66 x_{5} & -7.23 x_{9} & -0.34 x_{30} & +  0.29 x_{21} & -0.10 x_{24} & -0.19 x_{27} & -9.85 x_{3} & +  0.57 x_{25} & -6.53 x_{4} & -0.28 x_{16} & -0.23 x_{19}\\
\end{array}\]


 $ x_{21} $ enters and $ x_{23} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{21}   &  10.1567135446 & -0.61 x_{31} & -1.25 x_{22} & +  9.01 x_{8} & -9.29 x_{1} & -26.18 x_{5} & -3.05 x_{9} & -0.69 x_{30} & -0.40 x_{23} & -1.87 x_{24} & +  0.46 x_{27} & +  9.42 x_{3} & +  1.30 x_{25} & -19.48 x_{4} & +  0.45 x_{16} & -1.05 x_{19}\\
 x_{13}   &  8.47313035333 & -0.03 x_{31} & +  0.13 x_{22} & -1.19 x_{8} & +  0.46 x_{1} & -0.26 x_{5} & -1.29 x_{9} & -0.05 x_{30} & -0.10 x_{23} & +  0.02 x_{24} & +  0.05 x_{27} & -1.58 x_{3} & -0.04 x_{25} & +  1.16 x_{4} & -0.03 x_{16} & -0.07 x_{19}\\
 x_{10}   &  3.40623091593 & +  0.00 x_{31} & -0.01 x_{22} & +  0.12 x_{8} & +  0.16 x_{1} & -0.07 x_{5} & -0.59 x_{9} & -0.04 x_{30} & -0.05 x_{23} & -0.01 x_{24} & +  0.06 x_{27} & +  0.15 x_{3} & +  0.00 x_{25} & -0.68 x_{4} & +  0.02 x_{16} & -0.06 x_{19}\\
 x_{11}   &  1.81886982418 & +  0.08 x_{31} & +  0.03 x_{22} & -0.15 x_{8} & +  1.21 x_{1} & +  2.03 x_{5} & -0.17 x_{9} & +  0.08 x_{30} & +  0.00 x_{23} & +  0.07 x_{24} & +  0.03 x_{27} & -0.18 x_{3} & -0.10 x_{25} & +  0.49 x_{4} & -0.06 x_{16} & +  0.02 x_{19}\\
 x_{20}   &  110.952234621 & +  0.02 x_{31} & +  1.24 x_{22} & -17.34 x_{8} & +  3.18 x_{1} & -21.16 x_{5} & -20.31 x_{9} & -1.26 x_{30} & -1.19 x_{23} & -0.06 x_{24} & +  0.83 x_{27} & -18.71 x_{3} & +  0.15 x_{25} & +  0.31 x_{4} & -0.43 x_{16} & -1.79 x_{19}\\
 x_{18}   &  41.3253584738 & -0.45 x_{31} & +  1.19 x_{22} & -4.70 x_{8} & +  3.87 x_{1} & -9.65 x_{5} & -2.10 x_{9} & -0.52 x_{30} & -0.83 x_{23} & +  0.01 x_{24} & +  0.31 x_{27} & -8.50 x_{3} & -0.76 x_{25} & +  9.81 x_{4} & -0.10 x_{16} & -0.70 x_{19}\\
 x_{7}   &  6.58945913034 & +  0.03 x_{31} & +  0.09 x_{22} & -0.74 x_{8} & +  0.37 x_{1} & +  1.78 x_{5} & -0.45 x_{9} & +  0.01 x_{30} & +  0.01 x_{23} & +  0.11 x_{24} & +  0.03 x_{27} & -0.63 x_{3} & -0.10 x_{25} & +  1.19 x_{4} & -0.07 x_{16} & -0.00 x_{19}\\
 x_{32}   &  25.3550985056 & -0.36 x_{31} & +  0.46 x_{22} & -7.31 x_{8} & -12.37 x_{1} & -12.58 x_{5} & -9.01 x_{9} & -0.50 x_{30} & -0.35 x_{23} & -0.80 x_{24} & -0.13 x_{27} & -5.03 x_{3} & +  1.21 x_{25} & -8.43 x_{4} & +  0.05 x_{16} & -0.60 x_{19}\\
 x_{15}   &  1.86069807119 & -0.02 x_{31} & +  0.12 x_{22} & -0.62 x_{8} & +  0.63 x_{1} & -0.04 x_{5} & -0.02 x_{9} & -0.04 x_{30} & -0.03 x_{23} & +  0.02 x_{24} & -0.01 x_{27} & -1.26 x_{3} & -0.05 x_{25} & +  1.44 x_{4} & +  0.01 x_{16} & -0.04 x_{19}\\
 x_{2}   &  2.93873498184 & -0.05 x_{31} & +  0.04 x_{22} & -0.46 x_{8} & +  0.30 x_{1} & -0.82 x_{5} & -0.53 x_{9} & -0.04 x_{30} & -0.02 x_{23} & -0.04 x_{24} & +  0.04 x_{27} & -0.63 x_{3} & -0.02 x_{25} & +  0.16 x_{4} & +  0.01 x_{16} & -0.04 x_{19}\\
 x_{26}   &  58.6334438622 & -0.00 x_{31} & -1.01 x_{22} & +  9.80 x_{8} & -19.11 x_{1} & -10.12 x_{5} & -8.78 x_{9} & -0.75 x_{30} & -0.09 x_{23} & -0.24 x_{24} & +  0.55 x_{27} & +  0.16 x_{3} & +  0.64 x_{25} & -25.44 x_{4} & -0.15 x_{16} & -0.56 x_{19}\\
 x_{6}   &  0.506999420292 & +  0.02 x_{31} & +  0.09 x_{22} & -0.43 x_{8} & +  0.89 x_{1} & +  2.16 x_{5} & +  0.13 x_{9} & +  0.08 x_{30} & -0.02 x_{23} & +  0.13 x_{24} & +  0.00 x_{27} & -0.22 x_{3} & -0.13 x_{25} & +  2.02 x_{4} & -0.04 x_{16} & +  0.02 x_{19}\\
 x_{12}   &  1.46972221543 & -0.00 x_{31} & +  0.00 x_{22} & -0.07 x_{8} & -0.42 x_{1} & -0.22 x_{5} & -0.73 x_{9} & +  0.02 x_{30} & -0.00 x_{23} & +  0.01 x_{24} & +  0.03 x_{27} & +  0.29 x_{3} & +  0.02 x_{25} & -0.82 x_{4} & -0.00 x_{16} & -0.05 x_{19}\\
 x_{29}   &  33.9203212301 & +  1.41 x_{31} & +  0.88 x_{22} & -5.52 x_{8} & + 10.00 x_{1} & + 36.85 x_{5} & + 13.35 x_{9} & +  0.74 x_{30} & +  0.00 x_{23} & +  1.91 x_{24} & +  0.22 x_{27} & -3.76 x_{3} & -1.80 x_{25} & + 15.41 x_{4} & -1.13 x_{16} & +  0.80 x_{19}\\
 x_{17}   &  62.0254795642 & -0.38 x_{31} & -0.57 x_{22} & +  3.18 x_{8} & -20.15 x_{1} & -7.41 x_{5} & -17.97 x_{9} & -0.97 x_{30} & -0.36 x_{23} & -0.08 x_{24} & +  0.85 x_{27} & +  4.65 x_{3} & +  0.46 x_{25} & -22.84 x_{4} & -0.31 x_{16} & -0.86 x_{19}\\
 x_{14}   &  9.80625039364 & -0.04 x_{31} & +  0.00 x_{22} & -1.02 x_{8} & -1.57 x_{1} & -2.84 x_{5} & -1.85 x_{9} & -0.09 x_{30} & -0.05 x_{23} & -0.08 x_{24} & +  0.01 x_{27} & -1.71 x_{3} & +  0.05 x_{25} & -0.87 x_{4} & -0.05 x_{16} & -0.13 x_{19}\\
 x_{28}   &  107.708407706 & -0.89 x_{31} & -0.43 x_{22} & -14.06 x_{8} & -10.13 x_{1} & -64.87 x_{5} & -23.46 x_{9} & -2.00 x_{30} & -0.58 x_{23} & -2.39 x_{24} & -0.26 x_{27} & -28.90 x_{3} & +  1.74 x_{25} & -17.79 x_{4} & +  0.11 x_{16} & -1.28 x_{19}\\
\hline
z    &  37.8820233108 & -0.41 x_{31} & -0.60 x_{22} & -4.44 x_{8} & -13.41 x_{1} & -25.12 x_{5} & -8.10 x_{9} & -0.54 x_{30} & -0.11 x_{23} & -0.63 x_{24} & -0.06 x_{27} & -7.17 x_{3} & +  0.94 x_{25} & -12.09 x_{4} & -0.15 x_{16} & -0.52 x_{19}\\
\end{array}\]


 $ x_{25} $ enters and $ x_{6} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{21}   &  15.1540451819 & -0.42 x_{31} & -0.32 x_{22} & +  4.78 x_{8} & -0.49 x_{1} & -4.89 x_{5} & -1.74 x_{9} & +  0.10 x_{30} & -0.55 x_{23} & -0.54 x_{24} & +  0.47 x_{27} & +  7.23 x_{3} & -9.86 x_{6} & +  0.48 x_{4} & +  0.02 x_{16} & -0.85 x_{19}\\
 x_{13}   &  8.31094024413 & -0.03 x_{31} & +  0.10 x_{22} & -1.06 x_{8} & +  0.17 x_{1} & -0.95 x_{5} & -1.33 x_{9} & -0.08 x_{30} & -0.10 x_{23} & -0.02 x_{24} & +  0.05 x_{27} & -1.51 x_{3} & +  0.32 x_{6} & +  0.51 x_{4} & -0.02 x_{16} & -0.08 x_{19}\\
 x_{10}   &  3.40625200596 & +  0.00 x_{31} & -0.01 x_{22} & +  0.12 x_{8} & +  0.16 x_{1} & -0.07 x_{5} & -0.59 x_{9} & -0.04 x_{30} & -0.05 x_{23} & -0.01 x_{24} & +  0.06 x_{27} & +  0.15 x_{3} & -0.00 x_{6} & -0.68 x_{4} & +  0.02 x_{16} & -0.06 x_{19}\\
 x_{11}   &  1.42543931177 & +  0.07 x_{31} & -0.04 x_{22} & +  0.18 x_{8} & +  0.52 x_{1} & +  0.35 x_{5} & -0.27 x_{9} & +  0.02 x_{30} & +  0.01 x_{23} & -0.03 x_{24} & +  0.03 x_{27} & -0.01 x_{3} & +  0.78 x_{6} & -1.09 x_{4} & -0.03 x_{16} & +  0.00 x_{19}\\
 x_{20}   &  111.525303761 & +  0.04 x_{31} & +  1.35 x_{22} & -17.83 x_{8} & +  4.19 x_{1} & -18.71 x_{5} & -20.16 x_{9} & -1.17 x_{30} & -1.21 x_{23} & +  0.09 x_{24} & +  0.84 x_{27} & -18.96 x_{3} & -1.13 x_{6} & +  2.60 x_{4} & -0.48 x_{16} & -1.77 x_{19}\\
 x_{18}   &  38.420143467 & -0.56 x_{31} & +  0.65 x_{22} & -2.23 x_{8} & -1.24 x_{1} & -22.03 x_{5} & -2.86 x_{9} & -0.98 x_{30} & -0.75 x_{23} & -0.76 x_{24} & +  0.30 x_{27} & -7.23 x_{3} & +  5.73 x_{6} & -1.79 x_{4} & +  0.15 x_{16} & -0.81 x_{19}\\
 x_{7}   &  6.19892709454 & +  0.02 x_{31} & +  0.02 x_{22} & -0.41 x_{8} & -0.32 x_{1} & +  0.12 x_{5} & -0.55 x_{9} & -0.05 x_{30} & +  0.02 x_{23} & +  0.01 x_{24} & +  0.03 x_{27} & -0.46 x_{3} & +  0.77 x_{6} & -0.37 x_{4} & -0.04 x_{16} & -0.02 x_{19}\\
 x_{32}   &  30.0111476724 & -0.18 x_{31} & +  1.31 x_{22} & -11.26 x_{8} & -4.17 x_{1} & +  7.25 x_{5} & -7.79 x_{9} & +  0.24 x_{30} & -0.49 x_{23} & +  0.44 x_{24} & -0.12 x_{27} & -7.08 x_{3} & -9.18 x_{6} & + 10.16 x_{4} & -0.35 x_{16} & -0.41 x_{19}\\
 x_{15}   &  1.65992379116 & -0.03 x_{31} & +  0.08 x_{22} & -0.45 x_{8} & +  0.28 x_{1} & -0.90 x_{5} & -0.08 x_{9} & -0.07 x_{30} & -0.02 x_{23} & -0.03 x_{24} & -0.01 x_{27} & -1.17 x_{3} & +  0.40 x_{6} & +  0.64 x_{4} & +  0.03 x_{16} & -0.04 x_{19}\\
 x_{2}   &  2.86917003573 & -0.05 x_{31} & +  0.02 x_{22} & -0.40 x_{8} & +  0.17 x_{1} & -1.12 x_{5} & -0.55 x_{9} & -0.06 x_{30} & -0.02 x_{23} & -0.06 x_{24} & +  0.04 x_{27} & -0.60 x_{3} & +  0.14 x_{6} & -0.12 x_{4} & +  0.02 x_{16} & -0.05 x_{19}\\
 x_{26}   &  61.0968966976 & +  0.09 x_{31} & -0.55 x_{22} & +  7.72 x_{8} & -14.77 x_{1} & +  0.37 x_{5} & -8.13 x_{9} & -0.36 x_{30} & -0.17 x_{23} & +  0.42 x_{24} & +  0.56 x_{27} & -0.92 x_{3} & -4.86 x_{6} & -15.60 x_{4} & -0.36 x_{16} & -0.46 x_{19}\\
 x_{25}   &  3.83802033413 & +  0.14 x_{31} & +  0.71 x_{22} & -3.25 x_{8} & +  6.76 x_{1} & + 16.35 x_{5} & +  1.00 x_{9} & +  0.61 x_{30} & -0.12 x_{23} & +  1.02 x_{24} & +  0.01 x_{27} & -1.68 x_{3} & -7.57 x_{6} & + 15.33 x_{4} & -0.33 x_{16} & +  0.15 x_{19}\\
 x_{12}   &  1.56123700758 & +  0.00 x_{31} & +  0.02 x_{22} & -0.15 x_{8} & -0.25 x_{1} & +  0.17 x_{5} & -0.71 x_{9} & +  0.04 x_{30} & -0.01 x_{23} & +  0.03 x_{24} & +  0.03 x_{27} & +  0.25 x_{3} & -0.18 x_{6} & -0.46 x_{4} & -0.01 x_{16} & -0.04 x_{19}\\
 x_{29}   &  27.0191461101 & +  1.16 x_{31} & -0.39 x_{22} & +  0.33 x_{8} & -2.16 x_{1} & +  7.46 x_{5} & + 11.55 x_{9} & -0.35 x_{30} & +  0.21 x_{23} & +  0.08 x_{24} & +  0.20 x_{27} & -0.73 x_{3} & + 13.61 x_{6} & -12.15 x_{4} & -0.53 x_{16} & +  0.52 x_{19}\\
 x_{17}   &  63.8031474547 & -0.31 x_{31} & -0.24 x_{22} & +  1.67 x_{8} & -17.02 x_{1} & +  0.16 x_{5} & -17.50 x_{9} & -0.69 x_{30} & -0.41 x_{23} & +  0.39 x_{24} & +  0.85 x_{27} & +  3.87 x_{3} & -3.51 x_{6} & -15.74 x_{4} & -0.46 x_{16} & -0.79 x_{19}\\
 x_{14}   &  9.9958144494 & -0.03 x_{31} & +  0.04 x_{22} & -1.18 x_{8} & -1.23 x_{1} & -2.03 x_{5} & -1.80 x_{9} & -0.06 x_{30} & -0.06 x_{23} & -0.03 x_{24} & +  0.01 x_{27} & -1.80 x_{3} & -0.37 x_{6} & -0.11 x_{4} & -0.07 x_{16} & -0.12 x_{19}\\
 x_{28}   &  114.380457974 & -0.64 x_{31} & +  0.80 x_{22} & -19.71 x_{8} & +  1.63 x_{1} & -36.45 x_{5} & -21.72 x_{9} & -0.94 x_{30} & -0.78 x_{23} & -0.62 x_{24} & -0.24 x_{27} & -31.83 x_{3} & -13.16 x_{6} & +  8.86 x_{4} & -0.46 x_{16} & -1.02 x_{19}\\
\hline
z    &  41.4787690012 & -0.27 x_{31} & +  0.06 x_{22} & -7.49 x_{8} & -7.07 x_{1} & -9.80 x_{5} & -7.16 x_{9} & +  0.03 x_{30} & -0.22 x_{23} & +  0.32 x_{24} & -0.05 x_{27} & -8.75 x_{3} & -7.09 x_{6} & +  2.28 x_{4} & -0.46 x_{16} & -0.38 x_{19}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{11} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{21}   &  15.7825441529 & -0.39 x_{31} & -0.34 x_{22} & +  4.86 x_{8} & -0.26 x_{1} & -4.74 x_{5} & -1.86 x_{9} & +  0.11 x_{30} & -0.54 x_{23} & -0.56 x_{24} & +  0.49 x_{27} & +  7.22 x_{3} & -9.51 x_{6} & -0.44 x_{11} & +  0.01 x_{16} & -0.85 x_{19}\\
 x_{13}   &  8.97971491092 & +  0.00 x_{31} & +  0.08 x_{22} & -0.97 x_{8} & +  0.41 x_{1} & -0.79 x_{5} & -1.46 x_{9} & -0.07 x_{30} & -0.09 x_{23} & -0.03 x_{24} & +  0.06 x_{27} & -1.51 x_{3} & +  0.68 x_{6} & -0.47 x_{11} & -0.03 x_{16} & -0.08 x_{19}\\
 x_{10}   &  2.51851953087 & -0.04 x_{31} & +  0.01 x_{22} & +  0.00 x_{8} & -0.16 x_{1} & -0.29 x_{5} & -0.42 x_{9} & -0.05 x_{30} & -0.06 x_{23} & +  0.02 x_{24} & +  0.05 x_{27} & +  0.15 x_{3} & -0.48 x_{6} & +  0.62 x_{11} & +  0.04 x_{16} & -0.06 x_{19}\\
 x_{4}   &  1.31326589968 & +  0.06 x_{31} & -0.03 x_{22} & +  0.17 x_{8} & +  0.48 x_{1} & +  0.32 x_{5} & -0.25 x_{9} & +  0.02 x_{30} & +  0.01 x_{23} & -0.03 x_{24} & +  0.02 x_{27} & -0.01 x_{3} & +  0.71 x_{6} & -0.92 x_{11} & -0.03 x_{16} & +  0.00 x_{19}\\
 x_{20}   &  114.939899801 & +  0.21 x_{31} & +  1.26 x_{22} & -17.38 x_{8} & +  5.44 x_{1} & -17.87 x_{5} & -20.81 x_{9} & -1.12 x_{30} & -1.18 x_{23} & +  0.01 x_{24} & +  0.90 x_{27} & -18.98 x_{3} & +  0.73 x_{6} & -2.40 x_{11} & -0.54 x_{16} & -1.76 x_{19}\\
 x_{18}   &  36.0662584172 & -0.68 x_{31} & +  0.72 x_{22} & -2.54 x_{8} & -2.10 x_{1} & -22.61 x_{5} & -2.41 x_{9} & -1.01 x_{30} & -0.77 x_{23} & -0.70 x_{24} & +  0.26 x_{27} & -7.22 x_{3} & +  4.45 x_{6} & +  1.65 x_{11} & +  0.20 x_{16} & -0.82 x_{19}\\
 x_{7}   &  5.70725248524 & -0.01 x_{31} & +  0.03 x_{22} & -0.47 x_{8} & -0.50 x_{1} & -0.00 x_{5} & -0.46 x_{9} & -0.06 x_{30} & +  0.01 x_{23} & +  0.02 x_{24} & +  0.02 x_{27} & -0.46 x_{3} & +  0.50 x_{6} & +  0.34 x_{11} & -0.03 x_{16} & -0.02 x_{19}\\
 x_{32}   &  43.358066164 & +  0.48 x_{31} & +  0.96 x_{22} & -9.53 x_{8} & +  0.70 x_{1} & + 10.54 x_{5} & -10.33 x_{9} & +  0.41 x_{30} & -0.37 x_{23} & +  0.13 x_{24} & +  0.12 x_{27} & -7.15 x_{3} & -1.92 x_{6} & -9.36 x_{11} & -0.61 x_{16} & -0.38 x_{19}\\
 x_{15}   &  2.49638562286 & +  0.01 x_{31} & +  0.06 x_{22} & -0.35 x_{8} & +  0.58 x_{1} & -0.69 x_{5} & -0.24 x_{9} & -0.06 x_{30} & -0.02 x_{23} & -0.05 x_{24} & +  0.00 x_{27} & -1.18 x_{3} & +  0.85 x_{6} & -0.59 x_{11} & +  0.01 x_{16} & -0.04 x_{19}\\
 x_{2}   &  2.71299914918 & -0.06 x_{31} & +  0.03 x_{22} & -0.42 x_{8} & +  0.12 x_{1} & -1.16 x_{5} & -0.52 x_{9} & -0.06 x_{30} & -0.02 x_{23} & -0.05 x_{24} & +  0.04 x_{27} & -0.60 x_{3} & +  0.05 x_{6} & +  0.11 x_{11} & +  0.02 x_{16} & -0.05 x_{19}\\
 x_{26}   &  40.6067444888 & -0.92 x_{31} & -0.01 x_{22} & +  5.06 x_{8} & -22.24 x_{1} & -4.68 x_{5} & -4.24 x_{9} & -0.62 x_{30} & -0.36 x_{23} & +  0.89 x_{24} & +  0.20 x_{27} & -0.82 x_{3} & -16.01 x_{6} & + 14.37 x_{11} & +  0.04 x_{16} & -0.51 x_{19}\\
 x_{25}   &  23.9692834058 & +  1.13 x_{31} & +  0.18 x_{22} & -0.65 x_{8} & + 14.11 x_{1} & + 21.31 x_{5} & -2.83 x_{9} & +  0.86 x_{30} & +  0.07 x_{23} & +  0.55 x_{24} & +  0.37 x_{27} & -1.79 x_{3} & +  3.39 x_{6} & -14.12 x_{11} & -0.73 x_{16} & +  0.20 x_{19}\\
 x_{12}   &  0.959467736968 & -0.03 x_{31} & +  0.04 x_{22} & -0.23 x_{8} & -0.47 x_{1} & +  0.02 x_{5} & -0.59 x_{9} & +  0.03 x_{30} & -0.01 x_{23} & +  0.04 x_{24} & +  0.02 x_{27} & +  0.25 x_{3} & -0.51 x_{6} & +  0.42 x_{11} & -0.00 x_{16} & -0.04 x_{19}\\
 x_{29}   &  11.0646257002 & +  0.37 x_{31} & +  0.03 x_{22} & -1.74 x_{8} & -7.98 x_{1} & +  3.52 x_{5} & + 14.58 x_{9} & -0.55 x_{30} & +  0.06 x_{23} & +  0.45 x_{24} & -0.08 x_{27} & -0.65 x_{3} & +  4.93 x_{6} & + 11.19 x_{11} & -0.22 x_{16} & +  0.49 x_{19}\\
 x_{17}   &  43.1376503269 & -1.33 x_{31} & +  0.31 x_{22} & -1.01 x_{8} & -24.56 x_{1} & -4.94 x_{5} & -13.57 x_{9} & -0.95 x_{30} & -0.60 x_{23} & +  0.87 x_{24} & +  0.49 x_{27} & +  3.97 x_{3} & -14.76 x_{6} & + 14.50 x_{11} & -0.06 x_{16} & -0.84 x_{19}\\
 x_{14}   &  9.85047564033 & -0.04 x_{31} & +  0.04 x_{22} & -1.20 x_{8} & -1.29 x_{1} & -2.07 x_{5} & -1.77 x_{9} & -0.06 x_{30} & -0.06 x_{23} & -0.02 x_{24} & +  0.01 x_{27} & -1.80 x_{3} & -0.45 x_{6} & +  0.10 x_{11} & -0.06 x_{16} & -0.12 x_{19}\\
 x_{28}   &  126.013002901 & -0.07 x_{31} & +  0.49 x_{22} & -18.21 x_{8} & +  5.87 x_{1} & -33.58 x_{5} & -23.93 x_{9} & -0.80 x_{30} & -0.67 x_{23} & -0.89 x_{24} & -0.03 x_{27} & -31.89 x_{3} & -6.83 x_{6} & -8.16 x_{11} & -0.69 x_{16} & -0.99 x_{19}\\
\hline
z    &  44.4723673913 & -0.12 x_{31} & -0.01 x_{22} & -7.10 x_{8} & -5.98 x_{1} & -9.06 x_{5} & -7.73 x_{9} & +  0.07 x_{30} & -0.19 x_{23} & +  0.25 x_{24} & +  0.00 x_{27} & -8.76 x_{3} & -5.46 x_{6} & -2.10 x_{11} & -0.52 x_{16} & -0.37 x_{19}\\
\end{array}\]


 $ x_{24} $ enters and $ x_{21} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{24}   &  28.2628278188 & -0.70 x_{31} & -0.61 x_{22} & +  8.70 x_{8} & -0.46 x_{1} & -8.48 x_{5} & -3.34 x_{9} & +  0.20 x_{30} & -0.97 x_{23} & -1.79 x_{21} & +  0.87 x_{27} & + 12.93 x_{3} & -17.04 x_{6} & -0.79 x_{11} & +  0.02 x_{16} & -1.51 x_{19}\\
 x_{13}   &  7.99068552425 & +  0.02 x_{31} & +  0.10 x_{22} & -1.27 x_{8} & +  0.43 x_{1} & -0.49 x_{5} & -1.34 x_{9} & -0.08 x_{30} & -0.05 x_{23} & +  0.06 x_{21} & +  0.03 x_{27} & -1.96 x_{3} & +  1.28 x_{6} & -0.44 x_{11} & -0.03 x_{16} & -0.03 x_{19}\\
 x_{10}   &  2.95316149791 & -0.05 x_{31} & +  0.00 x_{22} & +  0.14 x_{8} & -0.17 x_{1} & -0.42 x_{5} & -0.48 x_{9} & -0.05 x_{30} & -0.08 x_{23} & -0.03 x_{21} & +  0.06 x_{27} & +  0.35 x_{3} & -0.75 x_{6} & +  0.61 x_{11} & +  0.04 x_{16} & -0.08 x_{19}\\
 x_{4}   &  0.454885359446 & +  0.09 x_{31} & -0.02 x_{22} & -0.09 x_{8} & +  0.49 x_{1} & +  0.58 x_{5} & -0.15 x_{9} & +  0.01 x_{30} & +  0.04 x_{23} & +  0.05 x_{21} & -0.00 x_{27} & -0.40 x_{3} & +  1.23 x_{6} & -0.90 x_{11} & -0.03 x_{16} & +  0.05 x_{19}\\
 x_{20}   &  115.316292832 & +  0.20 x_{31} & +  1.25 x_{22} & -17.27 x_{8} & +  5.43 x_{1} & -17.99 x_{5} & -20.85 x_{9} & -1.12 x_{30} & -1.19 x_{23} & -0.02 x_{21} & +  0.91 x_{27} & -18.81 x_{3} & +  0.50 x_{6} & -2.41 x_{11} & -0.54 x_{16} & -1.78 x_{19}\\
 x_{18}   &  16.1880548395 & -0.18 x_{31} & +  1.15 x_{22} & -8.66 x_{8} & -1.78 x_{1} & -16.64 x_{5} & -0.06 x_{9} & -1.15 x_{30} & -0.09 x_{23} & +  1.26 x_{21} & -0.35 x_{27} & -16.31 x_{3} & + 16.43 x_{6} & +  2.21 x_{11} & +  0.18 x_{16} & +  0.25 x_{19}\\
 x_{7}   &  6.32854436704 & -0.02 x_{31} & +  0.02 x_{22} & -0.28 x_{8} & -0.51 x_{1} & -0.19 x_{5} & -0.53 x_{9} & -0.05 x_{30} & -0.01 x_{23} & -0.04 x_{21} & +  0.04 x_{27} & -0.17 x_{3} & +  0.13 x_{6} & +  0.33 x_{11} & -0.03 x_{16} & -0.05 x_{19}\\
 x_{32}   &  46.9563339496 & +  0.39 x_{31} & +  0.88 x_{22} & -8.43 x_{8} & +  0.64 x_{1} & +  9.46 x_{5} & -10.75 x_{9} & +  0.43 x_{30} & -0.49 x_{23} & -0.23 x_{21} & +  0.23 x_{27} & -5.50 x_{3} & -4.09 x_{6} & -9.46 x_{11} & -0.61 x_{16} & -0.57 x_{19}\\
 x_{15}   &  1.03755277717 & +  0.05 x_{31} & +  0.09 x_{22} & -0.80 x_{8} & +  0.61 x_{1} & -0.25 x_{5} & -0.06 x_{9} & -0.07 x_{30} & +  0.03 x_{23} & +  0.09 x_{21} & -0.04 x_{27} & -1.84 x_{3} & +  1.73 x_{6} & -0.55 x_{11} & +  0.01 x_{16} & +  0.04 x_{19}\\
 x_{2}   &  1.24806490305 & -0.02 x_{31} & +  0.06 x_{22} & -0.87 x_{8} & +  0.14 x_{1} & -0.72 x_{5} & -0.35 x_{9} & -0.07 x_{30} & +  0.03 x_{23} & +  0.09 x_{21} & -0.01 x_{27} & -1.27 x_{3} & +  0.94 x_{6} & +  0.15 x_{11} & +  0.02 x_{16} & +  0.03 x_{19}\\
 x_{26}   &  65.8281957534 & -1.55 x_{31} & -0.56 x_{22} & + 12.83 x_{8} & -22.65 x_{1} & -12.25 x_{5} & -7.22 x_{9} & -0.44 x_{30} & -1.22 x_{23} & -1.60 x_{21} & +  0.97 x_{27} & + 10.72 x_{3} & -31.22 x_{6} & + 13.67 x_{11} & +  0.06 x_{16} & -1.86 x_{19}\\
 x_{25}   &  39.61165629 & +  0.75 x_{31} & -0.16 x_{22} & +  4.17 x_{8} & + 13.85 x_{1} & + 16.62 x_{5} & -4.67 x_{9} & +  0.98 x_{30} & -0.46 x_{23} & -0.99 x_{21} & +  0.85 x_{27} & +  5.37 x_{3} & -6.04 x_{6} & -14.56 x_{11} & -0.71 x_{16} & -0.64 x_{19}\\
 x_{12}   &  2.22608271811 & -0.06 x_{31} & +  0.01 x_{22} & +  0.16 x_{8} & -0.49 x_{1} & -0.36 x_{5} & -0.74 x_{9} & +  0.04 x_{30} & -0.06 x_{23} & -0.08 x_{21} & +  0.06 x_{27} & +  0.83 x_{3} & -1.27 x_{6} & +  0.39 x_{11} & +  0.00 x_{16} & -0.11 x_{19}\\
 x_{29}   &  23.7021823065 & +  0.06 x_{31} & -0.24 x_{22} & +  2.15 x_{8} & -8.18 x_{1} & -0.27 x_{5} & + 13.09 x_{9} & -0.46 x_{30} & -0.37 x_{23} & -0.80 x_{21} & +  0.31 x_{27} & +  5.13 x_{3} & -2.69 x_{6} & + 10.84 x_{11} & -0.21 x_{16} & -0.19 x_{19}\\
 x_{17}   &  67.7000928422 & -1.94 x_{31} & -0.22 x_{22} & +  6.55 x_{8} & -24.96 x_{1} & -12.31 x_{5} & -16.47 x_{9} & -0.77 x_{30} & -1.45 x_{23} & -1.56 x_{21} & +  1.24 x_{27} & + 15.21 x_{3} & -29.56 x_{6} & + 13.81 x_{11} & -0.04 x_{16} & -2.15 x_{19}\\
 x_{14}   &  9.14518981248 & -0.02 x_{31} & +  0.06 x_{22} & -1.42 x_{8} & -1.27 x_{1} & -1.86 x_{5} & -1.69 x_{9} & -0.06 x_{30} & -0.03 x_{23} & +  0.04 x_{21} & -0.02 x_{27} & -2.12 x_{3} & -0.03 x_{6} & +  0.12 x_{11} & -0.06 x_{16} & -0.08 x_{19}\\
 x_{28}   &  100.982960106 & +  0.55 x_{31} & +  1.03 x_{22} & -25.91 x_{8} & +  6.28 x_{1} & -26.07 x_{5} & -20.97 x_{9} & -0.97 x_{30} & +  0.19 x_{23} & +  1.59 x_{21} & -0.80 x_{27} & -43.35 x_{3} & +  8.26 x_{6} & -7.46 x_{11} & -0.71 x_{16} & +  0.35 x_{19}\\
\hline
z    &  51.6342064819 & -0.30 x_{31} & -0.17 x_{22} & -4.90 x_{8} & -6.10 x_{1} & -11.21 x_{5} & -8.58 x_{9} & +  0.12 x_{30} & -0.44 x_{23} & -0.45 x_{21} & +  0.22 x_{27} & -5.49 x_{3} & -9.78 x_{6} & -2.30 x_{11} & -0.51 x_{16} & -0.76 x_{19}\\
\end{array}\]


 $ x_{27} $ enters and $ x_{15} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{24}   &  49.4841296941 & +  0.34 x_{31} & +  1.24 x_{22} & -7.56 x_{8} & + 11.95 x_{1} & -13.66 x_{5} & -4.63 x_{9} & -1.18 x_{30} & -0.28 x_{23} & +  0.10 x_{21} & -20.45 x_{15} & -24.78 x_{3} & + 18.36 x_{6} & -11.96 x_{11} & +  0.25 x_{16} & -0.79 x_{19}\\
 x_{13}   &  8.76560431401 & +  0.06 x_{31} & +  0.17 x_{22} & -1.87 x_{8} & +  0.88 x_{1} & -0.68 x_{5} & -1.39 x_{9} & -0.13 x_{30} & -0.03 x_{23} & +  0.13 x_{21} & -0.75 x_{15} & -3.34 x_{3} & +  2.57 x_{6} & -0.85 x_{11} & -0.02 x_{16} & +  0.00 x_{19}\\
 x_{10}   &  4.40120427711 & +  0.02 x_{31} & +  0.13 x_{22} & -0.97 x_{8} & +  0.68 x_{1} & -0.78 x_{5} & -0.56 x_{9} & -0.14 x_{30} & -0.03 x_{23} & +  0.10 x_{21} & -1.40 x_{15} & -2.22 x_{3} & +  1.67 x_{6} & -0.15 x_{11} & +  0.06 x_{16} & -0.03 x_{19}\\
 x_{4}   &  0.376693427345 & +  0.08 x_{31} & -0.02 x_{22} & -0.03 x_{8} & +  0.45 x_{1} & +  0.60 x_{5} & -0.14 x_{9} & +  0.02 x_{30} & +  0.04 x_{23} & +  0.05 x_{21} & +  0.08 x_{15} & -0.26 x_{3} & +  1.10 x_{6} & -0.86 x_{11} & -0.03 x_{16} & +  0.05 x_{19}\\
 x_{20}   &  137.470383597 & +  1.29 x_{31} & +  3.18 x_{22} & -34.24 x_{8} & + 18.39 x_{1} & -23.39 x_{5} & -22.20 x_{9} & -2.57 x_{30} & -0.47 x_{23} & +  1.95 x_{21} & -21.35 x_{15} & -58.18 x_{3} & + 37.46 x_{6} & -14.07 x_{11} & -0.31 x_{16} & -1.03 x_{19}\\
 x_{18}   &  7.56449604553 & -0.61 x_{31} & +  0.40 x_{22} & -2.05 x_{8} & -6.82 x_{1} & -14.54 x_{5} & +  0.46 x_{9} & -0.59 x_{30} & -0.37 x_{23} & +  0.49 x_{21} & +  8.31 x_{15} & -0.99 x_{3} & +  2.05 x_{6} & +  6.75 x_{11} & +  0.09 x_{16} & -0.04 x_{19}\\
 x_{7}   &  7.29020343954 & +  0.02 x_{31} & +  0.10 x_{22} & -1.02 x_{8} & +  0.05 x_{1} & -0.42 x_{5} & -0.59 x_{9} & -0.11 x_{30} & +  0.02 x_{23} & +  0.05 x_{21} & -0.93 x_{15} & -1.88 x_{3} & +  1.73 x_{6} & -0.18 x_{11} & -0.02 x_{16} & -0.02 x_{19}\\
 x_{32}   &  52.4722513628 & +  0.66 x_{31} & +  1.37 x_{22} & -12.65 x_{8} & +  3.87 x_{1} & +  8.12 x_{5} & -11.09 x_{9} & +  0.07 x_{30} & -0.31 x_{23} & +  0.26 x_{21} & -5.32 x_{15} & -15.30 x_{3} & +  5.11 x_{6} & -12.37 x_{11} & -0.55 x_{16} & -0.39 x_{19}\\
 x_{27}   &  24.4094933483 & +  1.19 x_{31} & +  2.13 x_{22} & -18.71 x_{8} & + 14.27 x_{1} & -5.95 x_{5} & -1.48 x_{9} & -1.59 x_{30} & +  0.79 x_{23} & +  2.17 x_{21} & -23.53 x_{15} & -43.38 x_{3} & + 40.72 x_{6} & -12.85 x_{11} & +  0.26 x_{16} & +  0.83 x_{19}\\
 x_{2}   &  1.0389237903 & -0.03 x_{31} & +  0.04 x_{22} & -0.71 x_{8} & +  0.02 x_{1} & -0.67 x_{5} & -0.34 x_{9} & -0.05 x_{30} & +  0.02 x_{23} & +  0.07 x_{21} & +  0.20 x_{15} & -0.90 x_{3} & +  0.59 x_{6} & +  0.26 x_{11} & +  0.02 x_{16} & +  0.02 x_{19}\\
 x_{26}   &  89.5326103261 & -0.39 x_{31} & +  1.51 x_{22} & -5.34 x_{8} & -8.79 x_{1} & -18.03 x_{5} & -8.65 x_{9} & -1.99 x_{30} & -0.45 x_{23} & +  0.51 x_{21} & -22.85 x_{15} & -31.41 x_{3} & +  8.32 x_{6} & +  1.19 x_{11} & +  0.31 x_{16} & -1.06 x_{19}\\
 x_{25}   &  60.3123301448 & +  1.76 x_{31} & +  1.64 x_{22} & -11.70 x_{8} & + 25.96 x_{1} & + 11.57 x_{5} & -5.93 x_{9} & -0.37 x_{30} & +  0.21 x_{23} & +  0.85 x_{21} & -19.95 x_{15} & -31.42 x_{3} & + 28.49 x_{6} & -25.45 x_{11} & -0.49 x_{16} & +  0.06 x_{19}\\
 x_{12}   &  3.63959263645 & +  0.01 x_{31} & +  0.13 x_{22} & -0.92 x_{8} & +  0.33 x_{1} & -0.71 x_{5} & -0.83 x_{9} & -0.05 x_{30} & -0.01 x_{23} & +  0.05 x_{21} & -1.36 x_{15} & -1.68 x_{3} & +  1.09 x_{6} & -0.36 x_{11} & +  0.02 x_{16} & -0.06 x_{19}\\
 x_{29}   &  31.2325654196 & +  0.43 x_{31} & +  0.41 x_{22} & -3.62 x_{8} & -3.78 x_{1} & -2.11 x_{5} & + 12.63 x_{9} & -0.95 x_{30} & -0.13 x_{23} & -0.13 x_{21} & -7.26 x_{15} & -8.25 x_{3} & +  9.87 x_{6} & +  6.88 x_{11} & -0.13 x_{16} & +  0.07 x_{19}\\
 x_{17}   &  98.050526813 & -0.46 x_{31} & +  2.42 x_{22} & -16.70 x_{8} & -7.21 x_{1} & -19.71 x_{5} & -18.31 x_{9} & -2.75 x_{30} & -0.46 x_{23} & +  1.15 x_{21} & -29.25 x_{15} & -38.73 x_{3} & + 21.07 x_{6} & -2.16 x_{11} & +  0.29 x_{16} & -1.12 x_{19}\\
 x_{14}   &  8.77823659955 & -0.04 x_{31} & +  0.02 x_{22} & -1.14 x_{8} & -1.49 x_{1} & -1.77 x_{5} & -1.67 x_{9} & -0.04 x_{30} & -0.05 x_{23} & +  0.01 x_{21} & +  0.35 x_{15} & -1.47 x_{3} & -0.64 x_{6} & +  0.31 x_{11} & -0.07 x_{16} & -0.10 x_{19}\\
 x_{28}   &  81.4157937692 & -0.40 x_{31} & -0.67 x_{22} & -10.92 x_{8} & -5.16 x_{1} & -21.29 x_{5} & -19.79 x_{9} & +  0.30 x_{30} & -0.45 x_{23} & -0.16 x_{21} & + 18.86 x_{15} & -8.57 x_{3} & -24.38 x_{6} & +  2.84 x_{11} & -0.92 x_{16} & -0.31 x_{19}\\
\hline
z    &  57.1075315301 & -0.04 x_{31} & +  0.31 x_{22} & -9.09 x_{8} & -2.89 x_{1} & -12.55 x_{5} & -8.91 x_{9} & -0.24 x_{30} & -0.26 x_{23} & +  0.03 x_{21} & -5.28 x_{15} & -15.21 x_{3} & -0.65 x_{6} & -5.18 x_{11} & -0.46 x_{16} & -0.57 x_{19}\\
\end{array}\]


 $ x_{21} $ enters and $ x_{29} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{24}   &  73.4847997331 & +  0.66 x_{31} & +  1.55 x_{22} & -10.34 x_{8} & +  9.04 x_{1} & -15.27 x_{5} & +  5.08 x_{9} & -1.91 x_{30} & -0.38 x_{23} & -0.77 x_{29} & -26.03 x_{15} & -31.12 x_{3} & + 25.95 x_{6} & -6.67 x_{11} & +  0.15 x_{16} & -0.74 x_{19}\\
 x_{13}   &  40.4400311359 & +  0.49 x_{31} & +  0.58 x_{22} & -5.54 x_{8} & -2.95 x_{1} & -2.82 x_{5} & + 11.42 x_{9} & -1.09 x_{30} & -0.16 x_{23} & -1.01 x_{29} & -8.11 x_{15} & -11.70 x_{3} & + 12.58 x_{6} & +  6.12 x_{11} & -0.15 x_{16} & +  0.07 x_{19}\\
 x_{10}   &  28.8032915079 & +  0.35 x_{31} & +  0.45 x_{22} & -3.80 x_{8} & -2.27 x_{1} & -2.42 x_{5} & +  9.31 x_{9} & -0.89 x_{30} & -0.13 x_{23} & -0.78 x_{29} & -7.07 x_{15} & -8.67 x_{3} & +  9.38 x_{6} & +  5.22 x_{11} & -0.04 x_{16} & +  0.02 x_{19}\\
 x_{4}   &  11.7817367224 & +  0.24 x_{31} & +  0.13 x_{22} & -1.36 x_{8} & -0.93 x_{1} & -0.17 x_{5} & +  4.47 x_{9} & -0.33 x_{30} & -0.01 x_{23} & -0.37 x_{29} & -2.57 x_{15} & -3.27 x_{3} & +  4.71 x_{6} & +  1.65 x_{11} & -0.07 x_{16} & +  0.07 x_{19}\\
 x_{20}   &  606.401846631 & +  7.68 x_{31} & +  9.35 x_{22} & -88.57 x_{8} & -38.38 x_{1} & -55.00 x_{5} & + 167.47 x_{9} & -16.88 x_{30} & -2.41 x_{23} & -15.01 x_{29} & -130.32 x_{15} & -182.04 x_{3} & + 185.65 x_{6} & + 89.18 x_{11} & -2.24 x_{16} & -0.02 x_{19}\\
 x_{18}   &  125.71099764 & +  1.01 x_{31} & +  1.95 x_{22} & -15.74 x_{8} & -21.13 x_{1} & -22.50 x_{5} & + 48.25 x_{9} & -4.20 x_{30} & -0.86 x_{23} & -3.78 x_{29} & -19.14 x_{15} & -32.19 x_{3} & + 39.38 x_{6} & + 32.76 x_{11} & -0.40 x_{16} & +  0.21 x_{19}\\
 x_{7}   &  18.4269257258 & +  0.18 x_{31} & +  0.25 x_{22} & -2.31 x_{8} & -1.30 x_{1} & -1.17 x_{5} & +  3.92 x_{9} & -0.45 x_{30} & -0.02 x_{23} & -0.36 x_{29} & -3.51 x_{15} & -4.82 x_{3} & +  5.25 x_{6} & +  2.27 x_{11} & -0.06 x_{16} & +  0.00 x_{19}\\
 x_{32}   &  115.822785514 & +  1.52 x_{31} & +  2.20 x_{22} & -19.99 x_{8} & -3.80 x_{1} & +  3.85 x_{5} & + 14.53 x_{9} & -1.86 x_{30} & -0.58 x_{23} & -2.03 x_{29} & -20.04 x_{15} & -32.03 x_{3} & + 25.13 x_{6} & +  1.58 x_{11} & -0.81 x_{16} & -0.25 x_{19}\\
 x_{27}   &  547.400189398 & +  8.33 x_{31} & +  9.01 x_{22} & -79.29 x_{8} & -49.04 x_{1} & -41.20 x_{5} & + 210.05 x_{9} & -17.55 x_{30} & -1.38 x_{23} & -16.75 x_{29} & -145.06 x_{15} & -181.52 x_{3} & + 205.99 x_{6} & + 102.30 x_{11} & -1.90 x_{16} & +  1.95 x_{19}\\
 x_{2}   &  18.8812065514 & +  0.21 x_{31} & +  0.28 x_{22} & -2.78 x_{8} & -2.14 x_{1} & -1.87 x_{5} & +  6.88 x_{9} & -0.60 x_{30} & -0.05 x_{23} & -0.57 x_{29} & -3.94 x_{15} & -5.61 x_{3} & +  6.22 x_{6} & +  4.19 x_{11} & -0.06 x_{16} & +  0.06 x_{19}\\
 x_{26}   &  213.081494953 & +  1.30 x_{31} & +  3.13 x_{22} & -19.65 x_{8} & -23.75 x_{1} & -26.36 x_{5} & + 41.32 x_{9} & -5.76 x_{30} & -0.96 x_{23} & -3.96 x_{29} & -51.56 x_{15} & -64.04 x_{3} & + 47.37 x_{6} & + 28.40 x_{11} & -0.20 x_{16} & -0.79 x_{19}\\
 x_{25}   &  265.473934457 & +  4.56 x_{31} & +  4.34 x_{22} & -35.46 x_{8} & +  1.12 x_{1} & -2.26 x_{5} & + 77.05 x_{9} & -6.63 x_{30} & -0.64 x_{23} & -6.57 x_{29} & -67.63 x_{15} & -85.61 x_{3} & + 93.32 x_{6} & + 19.72 x_{11} & -1.34 x_{16} & +  0.50 x_{19}\\
 x_{12}   &  14.6238368881 & +  0.16 x_{31} & +  0.28 x_{22} & -2.19 x_{8} & -1.00 x_{1} & -1.45 x_{5} & +  3.62 x_{9} & -0.39 x_{30} & -0.05 x_{23} & -0.35 x_{29} & -3.91 x_{15} & -4.58 x_{3} & +  4.56 x_{6} & +  2.06 x_{11} & -0.03 x_{16} & -0.04 x_{19}\\
 x_{21}   &  240.500993622 & +  3.28 x_{31} & +  3.17 x_{22} & -27.86 x_{8} & -29.12 x_{1} & -16.21 x_{5} & + 97.27 x_{9} & -7.34 x_{30} & -1.00 x_{23} & -7.70 x_{29} & -55.89 x_{15} & -63.52 x_{3} & + 76.00 x_{6} & + 52.95 x_{11} & -0.99 x_{16} & +  0.51 x_{19}\\
 x_{17}   &  374.037337953 & +  3.31 x_{31} & +  6.05 x_{22} & -48.67 x_{8} & -40.62 x_{1} & -38.31 x_{5} & + 93.31 x_{9} & -11.17 x_{30} & -1.61 x_{23} & -8.84 x_{29} & -93.39 x_{15} & -111.62 x_{3} & + 108.28 x_{6} & + 58.60 x_{11} & -0.85 x_{16} & -0.53 x_{19}\\
 x_{14}   &  11.663443672 & +  0.00 x_{31} & +  0.06 x_{22} & -1.47 x_{8} & -1.84 x_{1} & -1.96 x_{5} & -0.50 x_{9} & -0.13 x_{30} & -0.06 x_{23} & -0.09 x_{29} & -0.32 x_{15} & -2.23 x_{3} & +  0.27 x_{6} & +  0.95 x_{11} & -0.08 x_{16} & -0.09 x_{19}\\
 x_{28}   &  43.5936228827 & -0.92 x_{31} & -1.17 x_{22} & -6.54 x_{8} & -0.58 x_{1} & -18.74 x_{5} & -35.08 x_{9} & +  1.45 x_{30} & -0.29 x_{23} & +  1.21 x_{29} & + 27.65 x_{15} & +  1.42 x_{3} & -36.33 x_{6} & -5.49 x_{11} & -0.77 x_{16} & -0.39 x_{19}\\
\hline
z    &  65.2423074992 & +  0.08 x_{31} & +  0.41 x_{22} & -10.03 x_{8} & -3.88 x_{1} & -13.09 x_{5} & -5.62 x_{9} & -0.49 x_{30} & -0.30 x_{23} & -0.26 x_{29} & -7.17 x_{15} & -17.36 x_{3} & +  1.92 x_{6} & -3.39 x_{11} & -0.49 x_{16} & -0.56 x_{19}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{28} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{24}   &  104.618338098 & +  0.01 x_{31} & +  0.72 x_{22} & -15.01 x_{8} & +  8.63 x_{1} & -28.66 x_{5} & -19.97 x_{9} & -0.88 x_{30} & -0.59 x_{23} & +  0.10 x_{29} & -6.28 x_{15} & -30.11 x_{3} & -0.71 x_{28} & -10.60 x_{11} & -0.40 x_{16} & -1.02 x_{19}\\
 x_{13}   &  55.5373457469 & +  0.18 x_{31} & +  0.18 x_{22} & -7.80 x_{8} & -3.15 x_{1} & -9.31 x_{5} & -0.73 x_{9} & -0.59 x_{30} & -0.26 x_{23} & -0.59 x_{29} & +  1.47 x_{15} & -11.21 x_{3} & -0.35 x_{28} & +  4.22 x_{11} & -0.42 x_{16} & -0.07 x_{19}\\
 x_{10}   &  40.0600371429 & +  0.12 x_{31} & +  0.15 x_{22} & -5.49 x_{8} & -2.43 x_{1} & -7.26 x_{5} & +  0.25 x_{9} & -0.51 x_{30} & -0.20 x_{23} & -0.47 x_{29} & +  0.07 x_{15} & -8.30 x_{3} & -0.26 x_{28} & +  3.80 x_{11} & -0.24 x_{16} & -0.08 x_{19}\\
 x_{4}   &  17.4284632114 & +  0.12 x_{31} & -0.02 x_{22} & -2.20 x_{8} & -1.01 x_{1} & -2.60 x_{5} & -0.08 x_{9} & -0.14 x_{30} & -0.05 x_{23} & -0.21 x_{29} & +  1.01 x_{15} & -3.09 x_{3} & -0.13 x_{28} & +  0.94 x_{11} & -0.17 x_{16} & +  0.02 x_{19}\\
 x_{20}   &  829.154416832 & +  2.98 x_{31} & +  3.38 x_{22} & -121.98 x_{8} & -41.37 x_{1} & -150.77 x_{5} & -11.80 x_{9} & -9.45 x_{30} & -3.89 x_{23} & -8.83 x_{29} & + 10.95 x_{15} & -174.78 x_{3} & -5.11 x_{28} & + 61.12 x_{11} & -6.16 x_{16} & -2.04 x_{19}\\
 x_{18}   &  172.964857171 & +  0.01 x_{31} & +  0.68 x_{22} & -22.82 x_{8} & -21.76 x_{1} & -42.82 x_{5} & + 10.22 x_{9} & -2.62 x_{30} & -1.17 x_{23} & -2.47 x_{29} & + 10.83 x_{15} & -30.65 x_{3} & -1.08 x_{28} & + 26.81 x_{11} & -1.23 x_{16} & -0.22 x_{19}\\
 x_{7}   &  24.7282274027 & +  0.04 x_{31} & +  0.08 x_{22} & -3.25 x_{8} & -1.38 x_{1} & -3.88 x_{5} & -1.15 x_{9} & -0.24 x_{30} & -0.06 x_{23} & -0.18 x_{29} & +  0.48 x_{15} & -4.62 x_{3} & -0.14 x_{28} & +  1.48 x_{11} & -0.18 x_{16} & -0.05 x_{19}\\
 x_{32}   &  145.980750434 & +  0.88 x_{31} & +  1.39 x_{22} & -24.52 x_{8} & -4.21 x_{1} & -9.12 x_{5} & -9.74 x_{9} & -0.86 x_{30} & -0.78 x_{23} & -1.19 x_{29} & -0.91 x_{15} & -31.05 x_{3} & -0.69 x_{28} & -2.22 x_{11} & -1.34 x_{16} & -0.52 x_{19}\\
 x_{27}   &  794.563140532 & +  3.11 x_{31} & +  2.39 x_{22} & -116.36 x_{8} & -52.35 x_{1} & -147.47 x_{5} & + 11.14 x_{9} & -9.31 x_{30} & -3.02 x_{23} & -9.88 x_{29} & + 11.70 x_{15} & -173.46 x_{3} & -5.67 x_{28} & + 71.17 x_{11} & -6.24 x_{16} & -0.29 x_{19}\\
 x_{2}   &  26.3501942673 & +  0.05 x_{31} & +  0.08 x_{22} & -3.90 x_{8} & -2.24 x_{1} & -5.08 x_{5} & +  0.87 x_{9} & -0.35 x_{30} & -0.10 x_{23} & -0.36 x_{29} & +  0.79 x_{15} & -5.37 x_{3} & -0.17 x_{28} & +  3.25 x_{11} & -0.19 x_{16} & -0.01 x_{19}\\
 x_{26}   &  269.916941573 & +  0.10 x_{31} & +  1.61 x_{22} & -28.17 x_{8} & -24.51 x_{1} & -50.80 x_{5} & -4.42 x_{9} & -3.86 x_{30} & -1.34 x_{23} & -2.38 x_{29} & -15.51 x_{15} & -62.19 x_{3} & -1.30 x_{28} & + 21.24 x_{11} & -1.19 x_{16} & -1.31 x_{19}\\
 x_{25}   &  377.452538915 & +  2.19 x_{31} & +  1.34 x_{22} & -52.26 x_{8} & -0.38 x_{1} & -50.40 x_{5} & -13.07 x_{9} & -2.90 x_{30} & -1.39 x_{23} & -3.46 x_{29} & +  3.39 x_{15} & -81.96 x_{3} & -2.57 x_{28} & +  5.61 x_{11} & -3.31 x_{16} & -0.51 x_{19}\\
 x_{12}   &  20.0922195342 & +  0.05 x_{31} & +  0.13 x_{22} & -3.01 x_{8} & -1.07 x_{1} & -3.80 x_{5} & -0.78 x_{9} & -0.21 x_{30} & -0.09 x_{23} & -0.20 x_{29} & -0.45 x_{15} & -4.41 x_{3} & -0.13 x_{28} & +  1.37 x_{11} & -0.13 x_{16} & -0.09 x_{19}\\
 x_{21}   &  331.69264961 & +  1.36 x_{31} & +  0.72 x_{22} & -41.54 x_{8} & -30.34 x_{1} & -55.42 x_{5} & + 23.88 x_{9} & -4.30 x_{30} & -1.60 x_{23} & -5.17 x_{29} & +  1.95 x_{15} & -60.55 x_{3} & -2.09 x_{28} & + 41.47 x_{11} & -2.59 x_{16} & -0.31 x_{19}\\
 x_{17}   &  503.96123207 & +  0.57 x_{31} & +  2.57 x_{22} & -68.16 x_{8} & -42.36 x_{1} & -94.17 x_{5} & -11.25 x_{9} & -6.84 x_{30} & -2.47 x_{23} & -5.23 x_{29} & -10.99 x_{15} & -107.39 x_{3} & -2.98 x_{28} & + 42.24 x_{11} & -3.13 x_{16} & -1.71 x_{19}\\
 x_{14}   &  11.9895401119 & -0.00 x_{31} & +  0.05 x_{22} & -1.52 x_{8} & -1.84 x_{1} & -2.10 x_{5} & -0.76 x_{9} & -0.12 x_{30} & -0.06 x_{23} & -0.08 x_{29} & -0.11 x_{15} & -2.22 x_{3} & -0.01 x_{28} & +  0.91 x_{11} & -0.09 x_{16} & -0.09 x_{19}\\
 x_{6}   &  1.19988270655 & -0.03 x_{31} & -0.03 x_{22} & -0.18 x_{8} & -0.02 x_{1} & -0.52 x_{5} & -0.97 x_{9} & +  0.04 x_{30} & -0.01 x_{23} & +  0.03 x_{29} & +  0.76 x_{15} & +  0.04 x_{3} & -0.03 x_{28} & -0.15 x_{11} & -0.02 x_{16} & -0.01 x_{19}\\
\hline
z    &  67.5450675659 & +  0.03 x_{31} & +  0.35 x_{22} & -10.38 x_{8} & -3.91 x_{1} & -14.08 x_{5} & -7.47 x_{9} & -0.41 x_{30} & -0.31 x_{23} & -0.20 x_{29} & -5.71 x_{15} & -17.29 x_{3} & -0.05 x_{28} & -3.68 x_{11} & -0.53 x_{16} & -0.58 x_{19}\\
\end{array}\]


 $ x_{22} $ enters and $ x_{6} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{24}   &  131.420926297 & -0.56 x_{31} & -22.34 x_{6} & -19.03 x_{8} & +  8.27 x_{1} & -40.18 x_{5} & -41.54 x_{9} & +  0.02 x_{30} & -0.76 x_{23} & +  0.84 x_{29} & + 10.71 x_{15} & -29.23 x_{3} & -1.33 x_{28} & -13.97 x_{11} & -0.87 x_{16} & -1.27 x_{19}\\
 x_{13}   &  62.2415601759 & +  0.03 x_{31} & -5.59 x_{6} & -8.81 x_{8} & -3.24 x_{1} & -12.19 x_{5} & -6.12 x_{9} & -0.37 x_{30} & -0.31 x_{23} & -0.41 x_{29} & +  5.72 x_{15} & -10.99 x_{3} & -0.50 x_{28} & +  3.38 x_{11} & -0.54 x_{16} & -0.13 x_{19}\\
 x_{10}   &  45.6595726555 & -0.00 x_{31} & -4.67 x_{6} & -6.33 x_{8} & -2.50 x_{1} & -9.67 x_{5} & -4.26 x_{9} & -0.32 x_{30} & -0.24 x_{23} & -0.31 x_{29} & +  3.62 x_{15} & -8.12 x_{3} & -0.39 x_{28} & +  3.10 x_{11} & -0.34 x_{16} & -0.13 x_{19}\\
 x_{4}   &  16.5300499643 & +  0.14 x_{31} & +  0.75 x_{6} & -2.07 x_{8} & -1.00 x_{1} & -2.21 x_{5} & +  0.65 x_{9} & -0.17 x_{30} & -0.04 x_{23} & -0.23 x_{29} & +  0.44 x_{15} & -3.12 x_{3} & -0.11 x_{28} & +  1.06 x_{11} & -0.16 x_{16} & +  0.03 x_{19}\\
 x_{20}   &  955.422242177 & +  0.32 x_{31} & -105.23 x_{6} & -140.91 x_{8} & -43.06 x_{1} & -205.06 x_{5} & -113.42 x_{9} & -5.24 x_{30} & -4.73 x_{23} & -5.32 x_{29} & + 91.03 x_{15} & -170.66 x_{3} & -8.01 x_{28} & + 45.22 x_{11} & -8.38 x_{16} & -3.18 x_{19}\\
 x_{18}   &  198.511976468 & -0.53 x_{31} & -21.29 x_{6} & -26.65 x_{8} & -22.10 x_{1} & -53.80 x_{5} & -10.34 x_{9} & -1.77 x_{30} & -1.34 x_{23} & -1.76 x_{29} & + 27.03 x_{15} & -29.82 x_{3} & -1.67 x_{28} & + 23.59 x_{11} & -1.68 x_{16} & -0.45 x_{19}\\
 x_{7}   &  27.6946984873 & -0.02 x_{31} & -2.47 x_{6} & -3.70 x_{8} & -1.42 x_{1} & -5.16 x_{5} & -3.54 x_{9} & -0.14 x_{30} & -0.08 x_{23} & -0.10 x_{29} & +  2.36 x_{15} & -4.52 x_{3} & -0.21 x_{28} & +  1.11 x_{11} & -0.23 x_{16} & -0.08 x_{19}\\
 x_{32}   &  197.875477194 & -0.21 x_{31} & -43.25 x_{6} & -32.30 x_{8} & -4.90 x_{1} & -31.43 x_{5} & -51.50 x_{9} & +  0.88 x_{30} & -1.12 x_{23} & +  0.25 x_{29} & + 32.00 x_{15} & -29.36 x_{3} & -1.88 x_{28} & -8.75 x_{11} & -2.26 x_{16} & -0.99 x_{19}\\
 x_{27}   &  883.587110589 & +  1.24 x_{31} & -74.19 x_{6} & -129.71 x_{8} & -53.55 x_{1} & -185.75 x_{5} & -60.51 x_{9} & -6.34 x_{30} & -3.61 x_{23} & -7.41 x_{29} & + 68.16 x_{15} & -170.56 x_{3} & -7.71 x_{28} & + 59.96 x_{11} & -7.80 x_{16} & -1.09 x_{19}\\
 x_{2}   &  29.1501139739 & -0.01 x_{31} & -2.33 x_{6} & -4.32 x_{8} & -2.28 x_{1} & -6.28 x_{5} & -1.38 x_{9} & -0.26 x_{30} & -0.12 x_{23} & -0.29 x_{29} & +  2.57 x_{15} & -5.28 x_{3} & -0.24 x_{28} & +  2.90 x_{11} & -0.24 x_{16} & -0.03 x_{19}\\
 x_{26}   &  329.953678248 & -1.17 x_{31} & -50.04 x_{6} & -37.18 x_{8} & -25.31 x_{1} & -76.61 x_{5} & -52.74 x_{9} & -1.86 x_{30} & -1.74 x_{23} & -0.71 x_{29} & + 22.57 x_{15} & -60.23 x_{3} & -2.68 x_{28} & + 13.68 x_{11} & -2.25 x_{16} & -1.85 x_{19}\\
 x_{25}   &  427.473662821 & +  1.14 x_{31} & -41.69 x_{6} & -59.76 x_{8} & -1.05 x_{1} & -71.91 x_{5} & -53.32 x_{9} & -1.23 x_{30} & -1.72 x_{23} & -2.07 x_{29} & + 35.12 x_{15} & -80.33 x_{3} & -3.72 x_{28} & -0.69 x_{11} & -4.19 x_{16} & -0.96 x_{19}\\
 x_{12}   &  24.9176371716 & -0.06 x_{31} & -4.02 x_{6} & -3.74 x_{8} & -1.14 x_{1} & -5.87 x_{5} & -4.67 x_{9} & -0.04 x_{30} & -0.12 x_{23} & -0.07 x_{29} & +  2.61 x_{15} & -4.25 x_{3} & -0.24 x_{28} & +  0.76 x_{11} & -0.21 x_{16} & -0.13 x_{19}\\
 x_{21}   &  358.6302664 & +  0.79 x_{31} & -22.45 x_{6} & -45.58 x_{8} & -30.70 x_{1} & -67.00 x_{5} & +  2.21 x_{9} & -3.40 x_{30} & -1.78 x_{23} & -4.42 x_{29} & + 19.03 x_{15} & -59.67 x_{3} & -2.71 x_{28} & + 38.07 x_{11} & -3.07 x_{16} & -0.56 x_{19}\\
 x_{17}   &  599.866176234 & -1.45 x_{31} & -79.93 x_{6} & -82.55 x_{8} & -43.65 x_{1} & -135.41 x_{5} & -88.43 x_{9} & -3.64 x_{30} & -3.11 x_{23} & -2.56 x_{29} & + 49.84 x_{15} & -104.26 x_{3} & -5.18 x_{28} & + 30.16 x_{11} & -4.82 x_{16} & -2.57 x_{19}\\
 x_{14}   &  13.9602116 & -0.04 x_{31} & -1.64 x_{6} & -1.81 x_{8} & -1.87 x_{1} & -2.95 x_{5} & -2.35 x_{9} & -0.05 x_{30} & -0.07 x_{23} & -0.03 x_{29} & +  1.14 x_{15} & -2.15 x_{3} & -0.05 x_{28} & +  0.66 x_{11} & -0.12 x_{16} & -0.11 x_{19}\\
 x_{22}   &  37.3095807142 & -0.79 x_{31} & -31.09 x_{6} & -5.60 x_{8} & -0.50 x_{1} & -16.04 x_{5} & -30.03 x_{9} & +  1.24 x_{30} & -0.25 x_{23} & +  1.04 x_{29} & + 23.66 x_{15} & +  1.22 x_{3} & -0.86 x_{28} & -4.70 x_{11} & -0.66 x_{16} & -0.34 x_{19}\\
\hline
z    &  80.6951532316 & -0.25 x_{31} & -10.96 x_{6} & -12.35 x_{8} & -4.09 x_{1} & -19.74 x_{5} & -18.06 x_{9} & +  0.03 x_{30} & -0.40 x_{23} & +  0.17 x_{29} & +  2.63 x_{15} & -16.86 x_{3} & -0.35 x_{28} & -5.34 x_{11} & -0.76 x_{16} & -0.69 x_{19}\\
\end{array}\]


 $ x_{15} $ enters and Unbounded Dictionary!


 $ x_{15} $ enters and Unbounded Dictionary!
\end{document}
